Functional Analysis and Infinite-Dimensional Geometry
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ISBN-13:
9781441929129
Veröffentl:
2011
Einband:
Paperback
Erscheinungsdatum:
09.10.2011
Seiten:
464
Autor:
Marian Fabian
Gewicht:
698 g
Format:
235x155x25 mm
Serie:
CMS Books in Mathematics
Sprache:
Englisch
Beschreibung:
This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.
Preface * 1 Basic Concepts in Banach Spaces * 2 Hahn-Banach and Banach Open Mapping Theorems * 3 Weak Topologies * 4 Locally Convex Spaces * 5 Structure of Banach Spaces * 6 Schauder Bases * 7 Compact Operators on Banach Spaces * 8 Differentiability of Norms * 9 Uniform Convexity * 10 Smoothness and Structure * 11 Weakly Compactly Generated Spaces * 12 Topics in Weak Toplogy * References * Index
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