E-Book, Englisch, 451 Seiten, eBook
Reihe: CMS Books in Mathematics
Fabian / Habala / Hajek Functional Analysis and Infinite-Dimensional Geometry
2001
ISBN: 978-1-4757-3480-5
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 451 Seiten, eBook
Reihe: CMS Books in Mathematics
ISBN: 978-1-4757-3480-5
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Graduate
Autoren/Hrsg.
Weitere Infos & Material
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
