Marian Fabian, Petr Habala, Petr Hajek

Functional Analysis and Infinite-Dimensional Geometry

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• CMS Books in Mathematics
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4419-2912-9
• 2001
• Seitenzahl: 464
• Erscheinungstermin: 9. Oktober 2011
• Englisch
• Abmessung: 235mm x 155mm x 25mm
• Gewicht: 710g
• ISBN-13: 9781441929129
• ISBN-10: 1441929126
• Artikelnr.: 32179989

Inhaltsangabe

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.

Rezensionen

From the reviews: MATHEMATICAL REVIEWS "This is a substantial text containing up-to-date exposition and functional analysis from a Banach space point of view. It will be particularly useful for research investigation of nonlinear functional analysis and optimization...This book will stand as an important working text and reference and a significant guide for research students."