[Aide] tester un logiciel d'OCR

vincent

29/10/2004 à 22:22

Saïd wrote:

Bonjour,

Je suis l'heureux acquereur d'un APN. L'un des usages que je compte en
faire est de numériser certains de mes bouquins, ou des livres épuisés que
l'on trouve en bibliothèque (comme l'exemple d'en dessous(*)). Mais avant
d'acheter un logiciel d'OCR j'aimerais faire un test.

Si un possesseur d'OCR pouvait lancer le logiciel en question sur l'image:
<http://perso.wanadoo.fr/saidl/004_page.jpg>
et poster la réponse du logiciel, ce serait vraiment sympa. Evidemment, mais
faut-il le preciser, je ne demanderai pas d'autre tests, je ne vais pas
faire numériser mes bouquins a l'oeuil et sans fatigue. ;-)

(*): La page en question est la première de la préface du livre "Functional
Analysis" de Walter Rudin (édition de 1973).

Salut,

ton image n'a pas plus à Omnipage X, car elle est en 72 dpi et il veut
du 200 dpi minimum pour l'analyser...
je l'ai donc passé d'abord à 200 dpi via Photoshop, puis repassé dans
Omnipage X. (certe, la qualité ne s'est biensur pas améliorée !)

Voilà le résultat brut sans rectification manuelle :
(pas trop mal, non ?)

"

PREFACE
Functional analysis is the study of certain topological-algebraic
structures and of the methods by which knowledge of these structures can
be applied to analytic problems.
A good introductory text on this subject should include a
presentation of its axiomatics (i.e., of the general theory of
topological vector spaces), it should treat at least a few topics in
some depth, and it should contain some interesting applications to other
branches of mathematics. I hope that the present book meets these
criteria.
The subject is huge and is growing rapidly. (The bibliography in
volume I of [4] contains 96 pages and goes only to 1957.) In order to
write a book of moderate size, it was therefore necessary to select
certain areas and to ignore others. I fully realize that almost any
expert who looks at the table of contents will find that some of his
(and my) favorite topics are missing, but this seems unavoidable. It was
not my intention to write an encyclopedic treatise. I wanted to write a
book that would open the way to further exploration.
This is the reason for omitting many of the more esoteric topics
that might have been included in the presentation of the general theory
of topological vector spaces. For instance, there is no discussion of
uniform spaces, of Moore-Smith convergence, of nets, or of filters. The
notion of completeness occurs only in the context of metric spaces.
Bornological spaces are not mentioned, nor are barreled ones. Duality is
of course presented, but not in its utmost generality. Integration of
vector-valued function is treated strictly as a tool; attention is
confined to continuous integrands, with values in a Fréchet space.
Nevertheless, the material of Part I is fully adequate for
almost all applications to concrete problems. And this is what ought to
be stressed in such a course: The close interplay between the abstract
and the concrete is not only the most useful aspect of the whole subject
but also the most fascinating one.
Here are some further features of the selected material. A
fairly large part of the general theory is presented without the
assumption of local convexity. The basic properties of compact operators
are derived from the duality theory in Banach spaces. The Krein-Milman
theorem on the existence of extreme points is used in several ways in

"

Saïd <said@brian.lan> wrote:

Bonjour,

Je suis l'heureux acquereur d'un APN. L'un des usages que je compte en
faire est de numériser certains de mes bouquins, ou des livres épuisés que
l'on trouve en bibliothèque (comme l'exemple d'en dessous(*)). Mais avant
d'acheter un logiciel d'OCR j'aimerais faire un test.

Si un possesseur d'OCR pouvait lancer le logiciel en question sur l'image:
<http://perso.wanadoo.fr/saidl/004_page.jpg>
et poster la réponse du logiciel, ce serait vraiment sympa. Evidemment, mais
faut-il le preciser, je ne demanderai pas d'autre tests, je ne vais pas
faire numériser mes bouquins a l'oeuil et sans fatigue. ;-)

(*): La page en question est la première de la préface du livre "Functional
Analysis" de Walter Rudin (édition de 1973).

Salut,

ton image n'a pas plus à Omnipage X, car elle est en 72 dpi et il veut
du 200 dpi minimum pour l'analyser...
je l'ai donc passé d'abord à 200 dpi via Photoshop, puis repassé dans
Omnipage X. (certe, la qualité ne s'est biensur pas améliorée !)

Voilà le résultat brut sans rectification manuelle :
(pas trop mal, non ?)

"

PREFACE
Functional analysis is the study of certain topological-algebraic
structures and of the methods by which knowledge of these structures can
be applied to analytic problems.
A good introductory text on this subject should include a
presentation of its axiomatics (i.e., of the general theory of
topological vector spaces), it should treat at least a few topics in
some depth, and it should contain some interesting applications to other
branches of mathematics. I hope that the present book meets these
criteria.
The subject is huge and is growing rapidly. (The bibliography in
volume I of [4] contains 96 pages and goes only to 1957.) In order to
write a book of moderate size, it was therefore necessary to select
certain areas and to ignore others. I fully realize that almost any
expert who looks at the table of contents will find that some of his
(and my) favorite topics are missing, but this seems unavoidable. It was
not my intention to write an encyclopedic treatise. I wanted to write a
book that would open the way to further exploration.
This is the reason for omitting many of the more esoteric topics
that might have been included in the presentation of the general theory
of topological vector spaces. For instance, there is no discussion of
uniform spaces, of Moore-Smith convergence, of nets, or of filters. The
notion of completeness occurs only in the context of metric spaces.
Bornological spaces are not mentioned, nor are barreled ones. Duality is
of course presented, but not in its utmost generality. Integration of
vector-valued function is treated strictly as a tool; attention is
confined to continuous integrands, with values in a Fréchet space.
Nevertheless, the material of Part I is fully adequate for
almost all applications to concrete problems. And this is what ought to
be stressed in such a course: The close interplay between the abstract
and the concrete is not only the most useful aspect of the whole subject
but also the most fascinating one.
Here are some further features of the selected material. A
fairly large part of the general theory is presented without the
assumption of local convexity. The basic properties of compact operators
are derived from the duality theory in Banach spaces. The Krein-Milman
theorem on the existence of extreme points is used in several ways in

"

Vous avez filtré cet utilisateur ! Consultez son message

Saïd wrote:

Bonjour,

Je suis l'heureux acquereur d'un APN. L'un des usages que je compte en
faire est de numériser certains de mes bouquins, ou des livres épuisés que
l'on trouve en bibliothèque (comme l'exemple d'en dessous(*)). Mais avant
d'acheter un logiciel d'OCR j'aimerais faire un test.

Si un possesseur d'OCR pouvait lancer le logiciel en question sur l'image:
<http://perso.wanadoo.fr/saidl/004_page.jpg>
et poster la réponse du logiciel, ce serait vraiment sympa. Evidemment, mais
faut-il le preciser, je ne demanderai pas d'autre tests, je ne vais pas
faire numériser mes bouquins a l'oeuil et sans fatigue. ;-)

(*): La page en question est la première de la préface du livre "Functional
Analysis" de Walter Rudin (édition de 1973).

Salut,

ton image n'a pas plus à Omnipage X, car elle est en 72 dpi et il veut
du 200 dpi minimum pour l'analyser...
je l'ai donc passé d'abord à 200 dpi via Photoshop, puis repassé dans
Omnipage X. (certe, la qualité ne s'est biensur pas améliorée !)

Voilà le résultat brut sans rectification manuelle :
(pas trop mal, non ?)

"

PREFACE
Functional analysis is the study of certain topological-algebraic
structures and of the methods by which knowledge of these structures can
be applied to analytic problems.
A good introductory text on this subject should include a
presentation of its axiomatics (i.e., of the general theory of
topological vector spaces), it should treat at least a few topics in
some depth, and it should contain some interesting applications to other
branches of mathematics. I hope that the present book meets these
criteria.
The subject is huge and is growing rapidly. (The bibliography in
volume I of [4] contains 96 pages and goes only to 1957.) In order to
write a book of moderate size, it was therefore necessary to select
certain areas and to ignore others. I fully realize that almost any
expert who looks at the table of contents will find that some of his
(and my) favorite topics are missing, but this seems unavoidable. It was
not my intention to write an encyclopedic treatise. I wanted to write a
book that would open the way to further exploration.
This is the reason for omitting many of the more esoteric topics
that might have been included in the presentation of the general theory
of topological vector spaces. For instance, there is no discussion of
uniform spaces, of Moore-Smith convergence, of nets, or of filters. The
notion of completeness occurs only in the context of metric spaces.
Bornological spaces are not mentioned, nor are barreled ones. Duality is
of course presented, but not in its utmost generality. Integration of
vector-valued function is treated strictly as a tool; attention is
confined to continuous integrands, with values in a Fréchet space.
Nevertheless, the material of Part I is fully adequate for
almost all applications to concrete problems. And this is what ought to
be stressed in such a course: The close interplay between the abstract
and the concrete is not only the most useful aspect of the whole subject
but also the most fascinating one.
Here are some further features of the selected material. A
fairly large part of the general theory is presented without the
assumption of local convexity. The basic properties of compact operators
are derived from the duality theory in Banach spaces. The Krein-Milman
theorem on the existence of extreme points is used in several ways in

"

Saïd

29/10/2004 à 22:47

Vincent VERDUN :

Salut,

ton image n'a pas plus à Omnipage X, car elle est en 72 dpi et il veut
du 200 dpi minimum pour l'analyser...
je l'ai donc passé d'abord à 200 dpi via Photoshop, puis repassé dans
Omnipage X. (certe, la qualité ne s'est biensur pas améliorée !)

Merci beaucoup. le resultat est meme parfait a premiere vue (je l'ai juste
passe dans le correcteur orthogrphique et lu rapidement). Et encore je
n'ai pas pris la photo avec le maximum de resolution (3Mpixels au lieu de
6).

La resolution reele est du genre 172dpi.

Tu peux demander une ristourne a l'editeur d'Omnipage. ;-)

--
Saïd.

Saïd

29/10/2004 à 22:50

José Campos :

Saïd wrote:

Si un possesseur d'OCR pouvait lancer le logiciel en question sur l'image:
<http://perso.wanadoo.fr/saidl/004_page.jpg>

Je ne sais pas si ça va beaucoup t'aider, mais je viens de faire un
essai avec Kooka sous Mandrake. Le résultat est, comment dire, plutôt
décevant. Il aurait sans doute fallu renforcer le contraste de l'image,
parceque gris sur gris, ça passe mal ;-) Je referai un essai demain.

Tiens je ne savais que ce Kooka existait, je testerai. Ne te fatigue pas
pour les tests (sauf si ca t'interesse) je m'occupe du linux.

--
Saïd.
C programmers never die - they're just cast into void.

Anne

29/10/2004 à 23:00

Vincent VERDUN a écrit:

Saïd wrote:

Si un possesseur d'OCR pouvait lancer le logiciel en question sur l'image:
<http://perso.wanadoo.fr/saidl/004_page.jpg>

ton image n'a pas plus à Omnipage X, car elle est en 72 dpi et il veut
du 200 dpi minimum pour l'analyser...

Elle n'a pas plu non plus à Omnipage 5.1, parce qu'elle est, en plus, en
jpg.
Et donc : Photoshop, passer en 200 dpi, ajuster les contrastes, sauver
en tiff.
Pour un résultat assez... décevant :

PREFACE i

FuncBonal analysis is the smdy of cettain topologioal-algebrdc i

strumures and of the methods by whicb knowledge of tbese stiuotmtfn can
be applied to analyfic pnoblems.

A good introductoty text ou tbk subioct sboudt im itude a pngen~

tation of its axiomaths (i.e., Or the gemmd theov nf topologiosl i

wector sp.~s), it should tmat at least a few topics in snmtt defxb, and
it shouid contain some interesfing applications to other branehes of
mathematics. I hope that the prusent book mt~:ts these oriteria.

The subject is huge and is growing rapidly. fThe bibliography

in volome I of [41 eontains 9fi pages and goes ondy to 1957.) lo order i

to write a book of moderate dt e, it was therefore nemessary m xelect
certain m~as and to igmone owhm. I fully nealhe that abnmx any expert
who looks at the table of oontents will find that some of his iand my)
favorite topics are missing, but this stums unavoRdable. It was nm my
mtention to wnte an eneyclopedic treatise. I waoted to write a book that
would opon the way to furthor exploradoo.

This is the reason fior omitting many of tho mone esOkark topuct, that
might have been ineluded in the ,mssgntation of the generad theory of
topological vector spaces. For instanoe, there is no dis

m~ssion of uniform spaces, of Moore-Smith convergenoe, of nets, mr i

of fihers. The notion of completencss occurs only in the context of
metric spac". Bornological spaces atu not mentioned, uor are hartel d
ones. Dualky is of course pntsgnted, but not in its utmost generalfiy.
Integration of vector-valmtd functiou ic trealgd stricddyas

a toot: anention is confined to continuous integrands, with valua in i

a Frechet space.

Nevertheless, the material of Part I is fully adequate for almost all
applications to commeke ptoblems. And this is what ought kO be stressed
in such a comse: Theclose intwphy betwefm fEetdtstrmt mmd the conorete
is not only the most usgful aspect of the whole subjam but also thc most
fascinating one.

Here are some further features of the selected material. A h irly large
pan of the general theory is presented without the assumptimi of Imcd
eonvexity. Thm basic properdes of compsot oper.~s me derived from the
dusdity themy in Bmmach spaces. Tbe h'~Mdbt;mfa theorem on the exiktence
of extteme points is used in su~rd wa4ys itt

--
Anne
... ces gens muets qui entrent à pas sourds...
(Maupassant)

Vincent VERDUN a écrit:

Saïd <said@brian.lan> wrote:

Si un possesseur d'OCR pouvait lancer le logiciel en question sur l'image:
<http://perso.wanadoo.fr/saidl/004_page.jpg>

ton image n'a pas plus à Omnipage X, car elle est en 72 dpi et il veut
du 200 dpi minimum pour l'analyser...

Elle n'a pas plu non plus à Omnipage 5.1, parce qu'elle est, en plus, en
jpg.
Et donc : Photoshop, passer en 200 dpi, ajuster les contrastes, sauver
en tiff.
Pour un résultat assez... décevant :

PREFACE i

FuncBonal analysis is the smdy of cettain topologioal-algebrdc i

strumures and of the methods by whicb knowledge of tbese stiuotmtfn can
be applied to analyfic pnoblems.

A good introductoty text ou tbk subioct sboudt im itude a pngen~

tation of its axiomaths (i.e., Or the gemmd theov nf topologiosl i

wector sp.~s), it should tmat at least a few topics in snmtt defxb, and
it shouid contain some interesfing applications to other branehes of
mathematics. I hope that the prusent book mt~:ts these oriteria.

The subject is huge and is growing rapidly. fThe bibliography

in volome I of [41 eontains 9fi pages and goes ondy to 1957.) lo order i

to write a book of moderate dt e, it was therefore nemessary m xelect
certain m~as and to igmone owhm. I fully nealhe that abnmx any expert
who looks at the table of oontents will find that some of his iand my)
favorite topics are missing, but this stums unavoRdable. It was nm my
mtention to wnte an eneyclopedic treatise. I waoted to write a book that
would opon the way to furthor exploradoo.

This is the reason fior omitting many of tho mone esOkark topuct, that
might have been ineluded in the ,mssgntation of the generad theory of
topological vector spaces. For instanoe, there is no dis

m~ssion of uniform spaces, of Moore-Smith convergenoe, of nets, mr i

of fihers. The notion of completencss occurs only in the context of
metric spac". Bornological spaces atu not mentioned, uor are hartel d
ones. Dualky is of course pntsgnted, but not in its utmost generalfiy.
Integration of vector-valmtd functiou ic trealgd stricddyas

a toot: anention is confined to continuous integrands, with valua in i

a Frechet space.

Nevertheless, the material of Part I is fully adequate for almost all
applications to commeke ptoblems. And this is what ought kO be stressed
in such a comse: Theclose intwphy betwefm fEetdtstrmt mmd the conorete
is not only the most usgful aspect of the whole subjam but also thc most
fascinating one.

Here are some further features of the selected material. A h irly large
pan of the general theory is presented without the assumptimi of Imcd
eonvexity. Thm basic properdes of compsot oper.~s me derived from the
dusdity themy in Bmmach spaces. Tbe h'~Mdbt;mfa theorem on the exiktence
of extteme points is used in su~rd wa4ys itt

--
Anne
... ces gens muets qui entrent à pas sourds...
(Maupassant)

Vous avez filtré cet utilisateur ! Consultez son message

Vincent VERDUN a écrit:

Saïd wrote:

Si un possesseur d'OCR pouvait lancer le logiciel en question sur l'image:
<http://perso.wanadoo.fr/saidl/004_page.jpg>

ton image n'a pas plus à Omnipage X, car elle est en 72 dpi et il veut
du 200 dpi minimum pour l'analyser...

Elle n'a pas plu non plus à Omnipage 5.1, parce qu'elle est, en plus, en
jpg.
Et donc : Photoshop, passer en 200 dpi, ajuster les contrastes, sauver
en tiff.
Pour un résultat assez... décevant :

PREFACE i

FuncBonal analysis is the smdy of cettain topologioal-algebrdc i

strumures and of the methods by whicb knowledge of tbese stiuotmtfn can
be applied to analyfic pnoblems.

A good introductoty text ou tbk subioct sboudt im itude a pngen~

tation of its axiomaths (i.e., Or the gemmd theov nf topologiosl i

wector sp.~s), it should tmat at least a few topics in snmtt defxb, and
it shouid contain some interesfing applications to other branehes of
mathematics. I hope that the prusent book mt~:ts these oriteria.

The subject is huge and is growing rapidly. fThe bibliography

in volome I of [41 eontains 9fi pages and goes ondy to 1957.) lo order i

to write a book of moderate dt e, it was therefore nemessary m xelect
certain m~as and to igmone owhm. I fully nealhe that abnmx any expert
who looks at the table of oontents will find that some of his iand my)
favorite topics are missing, but this stums unavoRdable. It was nm my
mtention to wnte an eneyclopedic treatise. I waoted to write a book that
would opon the way to furthor exploradoo.

This is the reason fior omitting many of tho mone esOkark topuct, that
might have been ineluded in the ,mssgntation of the generad theory of
topological vector spaces. For instanoe, there is no dis

m~ssion of uniform spaces, of Moore-Smith convergenoe, of nets, mr i

of fihers. The notion of completencss occurs only in the context of
metric spac". Bornological spaces atu not mentioned, uor are hartel d
ones. Dualky is of course pntsgnted, but not in its utmost generalfiy.
Integration of vector-valmtd functiou ic trealgd stricddyas

a toot: anention is confined to continuous integrands, with valua in i

a Frechet space.

Nevertheless, the material of Part I is fully adequate for almost all
applications to commeke ptoblems. And this is what ought kO be stressed
in such a comse: Theclose intwphy betwefm fEetdtstrmt mmd the conorete
is not only the most usgful aspect of the whole subjam but also thc most
fascinating one.

Here are some further features of the selected material. A h irly large
pan of the general theory is presented without the assumptimi of Imcd
eonvexity. Thm basic properdes of compsot oper.~s me derived from the
dusdity themy in Bmmach spaces. Tbe h'~Mdbt;mfa theorem on the exiktence
of extteme points is used in su~rd wa4ys itt

--
Anne
... ces gens muets qui entrent à pas sourds...
(Maupassant)

Saïd

29/10/2004 à 23:13

Anne :

Vincent VERDUN a écrit:
Saïd wrote:

Si un possesseur d'OCR pouvait lancer le logiciel en question sur l'image:
<http://perso.wanadoo.fr/saidl/004_page.jpg>

ton image n'a pas plus à Omnipage X, car elle est en 72 dpi et il veut
du 200 dpi minimum pour l'analyser...

Elle n'a pas plu non plus à Omnipage 5.1, parce qu'elle est, en plus, en
jpg.
Et donc : Photoshop, passer en 200 dpi, ajuster les contrastes, sauver
en tiff.
Pour un résultat assez... décevant :

Vincent ne dit pas avoir modifie le contraste. Bon je vais la mettre en
version 200 dpi et en tiff pour eviter des problemes a ceux qui voudraient
tester.

Merci de ton aide.

--
Saïd.

Saïd

29/10/2004 à 23:15

Saïd :

Si un possesseur d'OCR pouvait lancer le logiciel en question sur l'image:
<http://perso.wanadoo.fr/saidl/004_page.jpg>

Mieux vaut prendre cette image (si votre logiciel refuse la resolution
72dpi)

<http://perso.wanadoo.fr/saidl/004_page_200.jpg> (250ko)

et s'il refuse le jpg et veut du tiff:
<http://perso.wanadoo.fr/saidl/004_page.tiff> (800ko)

--
Saïd.
C programmers never die - they're just cast into void.

langmc

29/10/2004 à 23:53

Saïd wrote:

Saïd :
Si un possesseur d'OCR pouvait lancer le logiciel en question sur l'image:
<http://perso.wanadoo.fr/saidl/004_page.jpg>

Mieux vaut prendre cette image (si votre logiciel refuse la resolution
72dpi)

tous les logiciels OCR veulent du 200DPI, pourquoi n'utilise-tu pas un
scanner comme tout le monde :)

<http://perso.wanadoo.fr/saidl/004_page_200.jpg> (250ko)

et s'il refuse le jpg et veut du tiff:
<http://perso.wanadoo.fr/saidl/004_page.tiff> (800ko)

--
Le sage montre la lune, l'imbécile regarde le doigt.

pas.de.spam

30/10/2004 à 00:02

José Campos <jose.campos+ wrote:

Evidemment, mais faut-il le preciser, je ne demanderai pas d'autre tests,
je ne vais pas faire numériser mes bouquins a l'oeuil et sans fatigue. ;-)

Tu devrais, faire bosser les autres, voilà le secret de la réussite ;-)

comme disais Coluche, l'Avenir appartient à ceux dont les ouvriers se
lèvent tôt :-)
--
PO.

Pour m'écrire : po(point)taubaty(arobase)wanadoo(point)fr

AnneG

30/10/2004 à 00:21

Saïd wrote:

<http://perso.wanadoo.fr/saidl/004_page.tiff> (800ko)

Ton lien tiff est invalide.

--
Anne

AnneG

30/10/2004 à 00:26

Saïd wrote:

Mieux vaut prendre cette image (si votre logiciel refuse la resolution
72dpi)

Comme ton lien ne marche pas, j'en ai refait un tiff, sans toucher au
contraste. Avec pratiquement le même résultat.

Mais c'est vraiment un *vieux* logiciel !

PREFACE i

E:uncfional analysis is the smdy of certain topotogical-algebraic
structures and of the methods by which knowledge of these structures
can he applied to analytic problems
.A good huroduclory text on this subject should include a pretten-
tation of its axiomatics (i e . of the general theory of topological t
vector spaces). it should treat at least a few topics in some depth and
it should contain some interesting applicaticos lo other branches of
~t~athct~~ ttics I hope that the ptt sent book n~eets these criteria
I bc s~~hjecMs huge and is growing rapidly (The bibliography
in volume I of [41 contains 96 pages and goes only to 1957 ) In order
to write a book of moderate size it was therefore',ecessary to select
certain areas and to ignore others I fully realize that almost any
expen who looks ~t the tahle of contents will find that some of his
(and n~y) lavorite Lopics are missing hut this seems unavoidable It
was not my intention to write an encyclopedic treatise I wanted to
write a book that would open the way to further exploration -
This is the reason for omitting many of the more etoteric topics
that migh~ have bee'~ included in the presentation of the general
theory of topological vector spaces f or instance. there is no dis-
n~ssion of uniform spaces of Moore-Smith convergence. of nets or -t
of filters The notion of completeness occurs only in the context of -~~
n~ctric spaces Bornoh~gical spaces arc ~~ot mcnth~ned n¢~r arc
barreled onet Duality is of course presemcd. but n~u hM t~ utn~ost
generality Integration of vector valued f~~nction is treated strictly as
a toot: attenlinn is confi~~ed m co~~tinuous imegrands with values in
I l~cI~ct sptcc ~
h c~ cnhelebs thc n~t ~crial of Part I is fully adeguate for almost
all apphext~ons to concrete prohlems And this is what ought to he
~tressed h~ such a course: The close interplay between the ahstract
and the cnucrett is not only the mnst useful aspect of the whole 1
subjam but also tbe most faxmnath~g one t
Here are some further features of the selected material A fa~rly
large pan of the general theory is prtsented without the assumptico
of local cm~vexity. The basic properties of compact operators are
derivcd trom t he duality theory in Banach spaces The Krein-Milman :-t
theorem on the existence of extreme points is used in several wayx in ;
_~=~

--
Anne

Saïd wrote:

Mieux vaut prendre cette image (si votre logiciel refuse la resolution
72dpi)

Comme ton lien ne marche pas, j'en ai refait un tiff, sans toucher au
contraste. Avec pratiquement le même résultat.

Mais c'est vraiment un *vieux* logiciel !

PREFACE i

E:uncfional analysis is the smdy of certain topotogical-algebraic
structures and of the methods by which knowledge of these structures
can he applied to analytic problems
.A good huroduclory text on this subject should include a pretten-
tation of its axiomatics (i e . of the general theory of topological t
vector spaces). it should treat at least a few topics in some depth and
it should contain some interesting applicaticos lo other branches of
~t~athct~~ ttics I hope that the ptt sent book n~eets these criteria
I bc s~~hjecMs huge and is growing rapidly (The bibliography
in volume I of [41 contains 96 pages and goes only to 1957 ) In order
to write a book of moderate size it was therefore',ecessary to select
certain areas and to ignore others I fully realize that almost any
expen who looks ~t the tahle of contents will find that some of his
(and n~y) lavorite Lopics are missing hut this seems unavoidable It
was not my intention to write an encyclopedic treatise I wanted to
write a book that would open the way to further exploration -
This is the reason for omitting many of the more etoteric topics
that migh~ have bee'~ included in the presentation of the general
theory of topological vector spaces f or instance. there is no dis-
n~ssion of uniform spaces of Moore-Smith convergence. of nets or -t
of filters The notion of completeness occurs only in the context of -~~
n~ctric spaces Bornoh~gical spaces arc ~~ot mcnth~ned n¢~r arc
barreled onet Duality is of course presemcd. but n~u hM t~ utn~ost
generality Integration of vector valued f~~nction is treated strictly as
a toot: attenlinn is confi~~ed m co~~tinuous imegrands with values in
I l~cI~ct sptcc ~
h c~ cnhelebs thc n~t ~crial of Part I is fully adeguate for almost
all apphext~ons to concrete prohlems And this is what ought to he
~tressed h~ such a course: The close interplay between the ahstract
and the cnucrett is not only the mnst useful aspect of the whole 1
subjam but also tbe most faxmnath~g one t
Here are some further features of the selected material A fa~rly
large pan of the general theory is prtsented without the assumptico
of local cm~vexity. The basic properties of compact operators are
derivcd trom t he duality theory in Banach spaces The Krein-Milman :-t
theorem on the existence of extreme points is used in several wayx in ;
_~=~

--
Anne

Vous avez filtré cet utilisateur ! Consultez son message

Saïd wrote:

Mieux vaut prendre cette image (si votre logiciel refuse la resolution
72dpi)

Comme ton lien ne marche pas, j'en ai refait un tiff, sans toucher au
contraste. Avec pratiquement le même résultat.

Mais c'est vraiment un *vieux* logiciel !

PREFACE i

E:uncfional analysis is the smdy of certain topotogical-algebraic
structures and of the methods by which knowledge of these structures
can he applied to analytic problems
.A good huroduclory text on this subject should include a pretten-
tation of its axiomatics (i e . of the general theory of topological t
vector spaces). it should treat at least a few topics in some depth and
it should contain some interesting applicaticos lo other branches of
~t~athct~~ ttics I hope that the ptt sent book n~eets these criteria
I bc s~~hjecMs huge and is growing rapidly (The bibliography
in volume I of [41 contains 96 pages and goes only to 1957 ) In order
to write a book of moderate size it was therefore',ecessary to select
certain areas and to ignore others I fully realize that almost any
expen who looks ~t the tahle of contents will find that some of his
(and n~y) lavorite Lopics are missing hut this seems unavoidable It
was not my intention to write an encyclopedic treatise I wanted to
write a book that would open the way to further exploration -
This is the reason for omitting many of the more etoteric topics
that migh~ have bee'~ included in the presentation of the general
theory of topological vector spaces f or instance. there is no dis-
n~ssion of uniform spaces of Moore-Smith convergence. of nets or -t
of filters The notion of completeness occurs only in the context of -~~
n~ctric spaces Bornoh~gical spaces arc ~~ot mcnth~ned n¢~r arc
barreled onet Duality is of course presemcd. but n~u hM t~ utn~ost
generality Integration of vector valued f~~nction is treated strictly as
a toot: attenlinn is confi~~ed m co~~tinuous imegrands with values in
I l~cI~ct sptcc ~
h c~ cnhelebs thc n~t ~crial of Part I is fully adeguate for almost
all apphext~ons to concrete prohlems And this is what ought to he
~tressed h~ such a course: The close interplay between the ahstract
and the cnucrett is not only the mnst useful aspect of the whole 1
subjam but also tbe most faxmnath~g one t
Here are some further features of the selected material A fa~rly
large pan of the general theory is prtsented without the assumptico
of local cm~vexity. The basic properties of compact operators are
derivcd trom t he duality theory in Banach spaces The Krein-Milman :-t
theorem on the existence of extreme points is used in several wayx in ;
_~=~

--
Anne

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