Functional Analysis and Infinite-Dimensional Geometry
Seiten
2011
Springer-Verlag New York Inc.
978-1-4419-2912-9 (ISBN)
Springer-Verlag New York Inc.
978-1-4419-2912-9 (ISBN)
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.
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.
| Reihe/Serie | CMS Books in Mathematics |
|---|---|
| Zusatzinfo | IX, 451 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 1-4419-2912-6 / 1441929126 |
| ISBN-13 | 978-1-4419-2912-9 / 9781441929129 |
| Zustand | Neuware |
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