Functional Analysis and Infinite-Dimensional Geometry

2001. Auflage 2001
ISBN: 978-0-387-95219-2
Verlag: Springer

Buch, Englisch, 451 Seiten, Format (B × H): 161 mm x 244 mm, Gewicht: 822 g

Reihe: CMS Books in Mathematics

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.

Fabian, Marian

Habala, Petr

Hajek, Petr

Montesinos Santalucia, Vicente

Pelant, Jan

Zizler, Vaclav

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Analytische Topologie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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.