Introduction to Operator Theory I: Elements of Functional Analysis

Introduction to Operator Theory I: Elements of Functional Analysis

by A. Brown, C. Pearcy

Paperback(Softcover reprint of the original 1st ed. 1977)

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Product Details

ISBN-13: 9781461299288
Publisher: Springer New York
Publication date: 08/01/2012
Series: Graduate Texts in Mathematics , #55
Edition description: Softcover reprint of the original 1st ed. 1977
Pages: 476
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

I Preliminaries.- 1 Set theory.- 2 Linear algebra.- 3 General topology.- 4 Metric spaces.- 5 Complex analysis.- 6 Measurability.- 7 Integrals and measures.- 8 Measure theory.- 9 More integration theory.- 10 Measure and topology.- II Banach Spaces.- 11 Normed linear spaces.- 12 Bounded linear transformations.- 13 The open mapping theorem.- 14 The Hahn-Banach theorem.- 15 Local convexity and weak topologies.- 16 Duality.- 17 Banach spaces and integration theory.- 18 The spaces C(X).- 19 Vector sums and bases.- References to the examples, propositions, and problems.

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