Banach space theory : the basis for linear and nonlinear analysis
Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space the...
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| Auteurs principaux: | , , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edição: | 1st ed. 2011. |
| Colecção: | CMS Books in Mathematics, Ouvrages de mathématiques de la SMC
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| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 03 mai 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Banach space theory, the basis for linear and nonlinear analysis, Marian Fabian, Petr Habala, Petr Hajek,... [et al.], New York, Springer, 2011, 1 vol. (XIII-820 p.), CMS books in mathematics, 978-1-441-97514-0 • Banach Space Theory, Texte imprimé, 9781441975164 • Banach Space Theory, Texte imprimé, 9781493941148 |
Sumário:
- Preface Basic Concepts in Banach Spaces Hahn-Banach and Banach Open Mapping Theorems Weak Topologies and Banach Spaces Schauder Bases Structure of Banach Spaces Finite-Dimensional Spaces Optimization C^1 Smoothness in Separable Spaces Superreflexive Spaces Higher Order Smoothness Dentability and differentiability Basics in Nonlinear Geometric Analysis Weakly Compactly Generated Spaces Topics in Weak Topologies on Banach Spaces Compact Operators on Banach Spaces Tensor Products Appendix References Symbol Index Subject Index Author Index.