Morrison Functional Analysis

An Introduction to Banach Space Theory
1. Auflage 2011
ISBN: 978-1-118-03124-7
Verlag: John Wiley & Sons
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 376 Seiten, E-Book

Reihe: Wiley Series in Pure and Applied Mathematics

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.

Autoren/Hrsg.

Morrison, Terry J.

Inhaltsverzeichnis

Preface.
Introduction.
Basic Definitions and Examples.
Basic Principles with Applications.
Weak Topologies and Applications.
Operators on Banach Spaces.
Bases in Banach Spaces.
Sequences, Series, and a Little Geometry in Banach Spaces.
Bibliography.
Author/Name Index.
Subject Index
Symbol Index.

Über Autor(innen)

TERRY J. MORRISON, PhD, is Associate Professor in the Department of Mathematics and Computer Science at Gustavus Adolphus College, St. Peter, Minnesota.