Functional Analysis

Beschreibung

A powerful introduction to one of the most active areas oftheoretical and applied mathematics This distinctive introduction to one of the most far-reaching andbeautiful areas of mathematics focuses on Banach spaces as themilieu in which most of the fundamental concepts are presented.While occasionally using the more general topological vector spaceand locally convex space setting, it emphasizes the development ofthe reader's mathematical maturity and the ability to bothunderstand and "do" mathematics. In so doing, Functional Analysisprovides a strong springboard for further exploration on the widerange of topics the book presents, including: * Weak topologies and applications * Operators on Banach spaces * Bases in Banach spaces * Sequences, series, and geometry in Banach spaces Stressing the general techniques underlying the proofs, FunctionalAnalysis also features many exercises for immediate clarificationof points under discussion. This thoughtful, well-organizedsynthesis of the work of those mathematicians who created thediscipline of functional analysis as we know it today also providesa rich source of research topics and reference material.

Autor*in

Terry J. Morrison

Themen in »Functional Analysis«

Angewandte Mathematik Applied Mathematics Complex & Functional Analysis Komplexe Analysis u. Funktionalanalysis Mathematics Mathematik

Stimmen zu »Functional Analysis«

"This textbook for a two-semester course in functional analysispresents the basic ideas, techniques, and methods that form theunderpinnings of the discipline." (SciTech Book News, Vol. 25, No.3, September 2001) "...a useful book which helps the student to understand Banachspace theory." (Mathematical Reviews, 2003a)
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