Banach space theory: the basis for linear and nonlinear analysis

Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos, Václav Zizler

Type: Article

Publication Date: 2011-07-01

Citations: 359

DOI: https://doi.org/10.5860/choice.48-6335

Abstract

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.

Locations

Choice Reviews Online - View
Library Union Catalog of Bavaria, Berlin and Brandenburg (B3Kat Repository) - View - PDF

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