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Titlebook: Banach Space Theory; The Basis for Linear Marián Fabian,Petr Habala,Václav Zizler Textbook 2011 Springer Science+Business Media, LLC 2011 R

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期刊全称Banach Space Theory
期刊简称The Basis for Linear
影响因子2023Marián Fabian,Petr Habala,Václav Zizler
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发行地址Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory.Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tens
学科分类CMS Books in Mathematics
图书封面Titlebook: Banach Space Theory; The Basis for Linear Marián Fabian,Petr Habala,Václav Zizler Textbook 2011 Springer Science+Business Media, LLC 2011 R
影响因子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 theory.Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal‘s L1 theorem, fixed points, and more- Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.
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,,-Smoothness in Separable Spaces,ns, in particular by means of ..-smooth renormings and differentiability properties of convex functions. Asplund spaces also play an important role in applications. We study basic results in smooth approximation and ranges of smooth nonlinear operators.
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Weakly Compactly Generated Spaces,ctly generated spaces, in short WCG spaces). We focus on their decomposition properties, renormings, and on the topological properties of their dual spaces. We prove that WCG spaces are generated by reflexive spaces. Then we study absolutely summing operators and the Dunford–Pettis property.
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