Banach Space Theory : the Basis for Linear and Nonlinear Analysis

0358155 - MÚ 2011 RIV US eng B - Monography
Fabian, Marián - Habala, P. - Hájek, Petr Pavel - Montesinos, V. - Zizler, Václav
Banach Space Theory : the Basis for Linear and Nonlinear Analysis.
New York: Springer, 2011. 820 s. CMS Books in Mathematics. ISBN 978-1-4419-7514-0
R&D Projects: GA AV ČR(CZ) IAA100190610; GA AV ČR IAA100190901; GA ČR GA201/07/0394
Institutional research plan: CEZ:AV0Z10190503
Keywords : Banach space * weak topology * renorming * dentability * differentiability * compact space * Schauder base * smooth variational principle * subdifferential * tensor product * Asplund space * smoothness
Subject RIV: BA - General Mathematics
http://link.springer.com/book/10.1007%2F978-1-4419-7515-7

Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory.
Permanent Link: http://hdl.handle.net/11104/0196260