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Functional Analysis and Infinite-Dimensional Geometry

Paperback Engels 2011 2001e druk 9781441929129
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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.

Specificaties

ISBN13:9781441929129
Taal:Engels
Bindwijze:paperback
Aantal pagina's:451
Uitgever:Springer New York
Druk:2001

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Inhoudsopgave

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 Topology.- References.

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        Functional Analysis and Infinite-Dimensional Geometry