Functional Analysis: An Introduction to Banach Space Theory Hardcover - 2001
by Terry J. Morrison
First line
In this chapter we present many of the fundamental examples of Banach spaces that should serve as an indication of the type and broad range of spaces we will be concerned with throughout most of the remainder of this book.
From the rear cover
A powerful introduction to one of the most active areas of theoretical and applied mathematics
This 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, 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, 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.
Details
- Title Functional Analysis: An Introduction to Banach Space Theory
- Author Terry J. Morrison
- Binding Hardcover
- Edition 1st ed.
- Pages 376
- Volumes 1
- Language ENG
- Publisher Wiley-Interscience, New York, NY
- Date 2001-01-01
- Illustrated Yes
- Features Bibliography, Illustrated, Index
- ISBN 9780471372141 / 0471372145
- Weight 1.55 lbs (0.70 kg)
- Dimensions 9.5 x 6.42 x 0.94 in (24.13 x 16.31 x 2.39 cm)
- Library of Congress subjects Functional analysis
- Library of Congress Catalog Number 00036822
- Dewey Decimal Code 515.7
Media reviews
Citations
- Scitech Book News, 09/01/2001, Page 46
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Functional Analysis: An Introduction to Banach Space Theory
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by Terry J. Morrison
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