Titre : |
A course in functional analysis |
Type de document : |
texte imprimé |
Auteurs : |
John B Conway, Auteur |
Mention d'édition : |
2 éd |
Editeur : |
Berlin ; London ; Cham : Springer |
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 . - Berlin ; London ; Cham : Springer, 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 |
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