Banach Space Theory The Basis for Linear and Nonlinear Analysis /

• Κύριοι συγγραφείς: Fabian, Marián (Συγγραφέας), Habala, Petr (Συγγραφέας), Hájek, Petr (Συγγραφέας), Montesinos, Vicente (Συγγραφέας), Zizler, Václav (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2011.
• Σειρά: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
• Θέματα: Mathematics.; Functional analysis.; Topology.; Functional 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...

Πίνακας περιεχομένων:

• 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.