Catalogue en ligne Bibliothèque de l'Ecole Nationale Polytechnique

A course in functional analysis / John B Conway

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ISBD

Titre : A course in functional analysis
Type de document : texte imprimé
Auteurs : John B Conway, Auteur
Mention d'édition : 2 éd
Editeur : Berlin : Springer-Verlag
Année de publication : 1990
Collection : Graduate texts in mathematics num. 96
Importance : XVI-399 p.
Format : 24 cm
ISBN/ISSN/EAN : 978-0-387-97245-9
Note générale : Bibliogr. p. [384]-389. Index
Langues : Anglais (eng)
Mots-clés : Functional analysis
Analyse fonctionnelle
Index. décimale : 517.548 Fonctions analytiques généralisées. Reprisentations quasi-conformes. Classes quasi-analytiques. Fonctions pseudo-analytiques. Fonctions monogènes. Matrices analytiques
Résumé : This book is an introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general, helping the student to develop an intuitive feel for the subject. For example, the author introduces the concept of a Banach space only after having introduced Hilbert spaces, and discussing their properties. The student will also appreciate the large number of examples and exercises which have been included.
Note de contenu :
- Hilbert spaces
- Operators on hilbert space
- Banach spaces
- Locally convex spaces
- Weak topologies
- Linear operators on banach space
- Banach Algebras and spectral theory for operators on banach space
- Algebras
- Normal operties on hilbert space
- Unbounded operators

A course in functional analysis [texte imprimé] / John B Conway, Auteur . - 2 éd . - Springer-Verlag, 1990 . - XVI-399 p. ; 24 cm. - (Graduate texts in mathematics; 96) .
ISBN : 978-0-387-97245-9
Bibliogr. p. [384]-389. Index
Langues : Anglais (eng)
Mots-clés : Functional analysis
Analyse fonctionnelle
Index. décimale : 517.548 Fonctions analytiques généralisées. Reprisentations quasi-conformes. Classes quasi-analytiques. Fonctions pseudo-analytiques. Fonctions monogènes. Matrices analytiques
Résumé : This book is an introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general, helping the student to develop an intuitive feel for the subject. For example, the author introduces the concept of a Banach space only after having introduced Hilbert spaces, and discussing their properties. The student will also appreciate the large number of examples and exercises which have been included.
Note de contenu :
- Hilbert spaces
- Operators on hilbert space
- Banach spaces
- Locally convex spaces
- Weak topologies
- Linear operators on banach space
- Banach Algebras and spectral theory for operators on banach space
- Algebras
- Normal operties on hilbert space
- Unbounded operators

Exemplaires

Code-barres Cote Support Localisation Section Disponibilité Etat_Exemplaire
046772 517.548 CON Papier Bibliothèque Centrale Mathématiques Disponible

Eléments d'analyse fonctionnelle / Francis Hirsch ; Gilles Lacombe

Public

ISBD

Titre : Eléments d'analyse fonctionnelle : cours et exercices
Type de document : texte imprimé
Auteurs : Francis Hirsch, Auteur ; Gilles Lacombe, Auteur ; Silvio Levy, Traducteur
Editeur : Berlin : Springer-Verlag
Année de publication : 1999
Collection : Graduate texts in mathematics
Importance : IX-359 p.
Format : 24 cm
ISBN/ISSN/EAN : 978-0-387-98524-4
Note générale : Bibliogr. Index.
Langues : Anglais (eng)
Mots-clés : Analyse fonctionnelle
Index. décimale : 517.548 Fonctions analytiques généralisées. Reprisentations quasi-conformes. Classes quasi-analytiques. Fonctions pseudo-analytiques. Fonctions monogènes. Matrices analytiques
Résumé : The authors' goal in this book on functional analysis is to introduce the reader to the theory of distributions, differential operators, and Sobolev spaces. Along the way, the reader is presented.with a truly remarkable assortment of well formulated interesting and solved exercises which test the understanding as well as point out many related topics.
Note de contenu :
I Function Spaces and their Duals
The Space of Continuous Functions on a Compact Set
Locally Compact Spaces and Radon Measures
Hilbert Spaces
L[superscript p] Spaces
II Operators
Spectra
Compact Operators
III Distributions
Definitions and Examples
Multiplication and Differentiation
Convolution of Distributions
The Laplacian on an Open Set

Eléments d'analyse fonctionnelle : cours et exercices [texte imprimé] / Francis Hirsch, Auteur ; Gilles Lacombe, Auteur ; Silvio Levy, Traducteur . - Springer-Verlag, 1999 . - IX-359 p. ; 24 cm. - (Graduate texts in mathematics) .
ISBN : 978-0-387-98524-4
Bibliogr. Index.
Langues : Anglais (eng)
Mots-clés : Analyse fonctionnelle
Index. décimale : 517.548 Fonctions analytiques généralisées. Reprisentations quasi-conformes. Classes quasi-analytiques. Fonctions pseudo-analytiques. Fonctions monogènes. Matrices analytiques
Résumé : The authors' goal in this book on functional analysis is to introduce the reader to the theory of distributions, differential operators, and Sobolev spaces. Along the way, the reader is presented.with a truly remarkable assortment of well formulated interesting and solved exercises which test the understanding as well as point out many related topics.
Note de contenu :
I Function Spaces and their Duals
The Space of Continuous Functions on a Compact Set
Locally Compact Spaces and Radon Measures
Hilbert Spaces
L[superscript p] Spaces
II Operators
Spectra
Compact Operators
III Distributions
Definitions and Examples
Multiplication and Differentiation
Convolution of Distributions
The Laplacian on an Open Set

Exemplaires

Code-barres Cote Support Localisation Section Disponibilité Etat_Exemplaire
046779 517.548 HIR Papier Bibliothèque Centrale Mathématiques Disponible