Functional Analysis and Infinite-Dimensional Geometry
(Sprache: Englisch)
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...
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Klappentext zu „Functional Analysis and Infinite-Dimensional Geometry “
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.
Inhaltsverzeichnis zu „Functional Analysis and Infinite-Dimensional Geometry “
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
Bibliographische Angaben
- Autoren: Marian Fabian , Petr Habala , Petr Hajek
- 2001, 451 Seiten, Maße: 16,1 x 24,4 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387952195
- ISBN-13: 9780387952192
Sprache:
Englisch
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