num_pages: 376
description: A powerful introduction to one of the most active areas of theoretical and applied mathematicsThis distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented. While occasionally using the more general topological vector space and locally convex space setting it emphasizes the development of the reader's mathematical maturity and the ability to both understand and do mathematics. In so doing Functional Analysis provides a strong springboard for further exploration on the wide range of topics the book presents * Weak topologies and applications* Operators on Banach spaces* Bases in Banach spaces* Sequences series and geometry in Banach spacesStressing the general techniques underlying the proofs Functional Analysis also features many exercises for immediate clarification of points under discussion. This thoughtful well-organized synthesis of the work of those mathematicians who created the discipline of functional analysis as we know it today also provides a rich source of research topics and reference material.
language: English
title: Functional Analysis: An Introduction to Banach Space Theory
publisher: Wiley-Interscience