A Course in Functional Analysis

John B Conway

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English

Springer Verlag
07 September 1990

Mathematics & Sciences; Functional analysis & transforms

Series: Graduate Texts in Mathematics

Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with a topology or two (or more). Here the paths diverge in the choice of how that topology is defined and in whether to study the geometry of the linear space, or the linear operators on the space, or both. In this book I have tried to follow the common thread rather than any special topic. I have included some topics that a few years ago might have been thought of as specialized but which impress me as interesting and basic. Near the end of this work I gave into my natural temptation and included some operator theory that, though basic for operator theory, might be considered specialized by some functional analysts.

By: John B Conway
Imprint: Springer Verlag
Country of Publication: United States
Edition: 2nd Revised edition
Volume: v.96
Dimensions: Height: 234mm, Width: 156mm, Spine: 23mm
Weight: 1.700kg
ISBN: 9780387972459
ISBN 10: 0387972455
Series: Graduate Texts in Mathematics
Pages: 399
Publication Date: 07 September 1990
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

I Hilbert Spaces.- II Operators on Hilbert Space.- III Banach Spaces.- IV Locally Convex Spaces.- V Weak Topologies.- VI Linear Operators on a Banach Space.- VII Banach Algebras and Spectral Theory for Operators on a Banach Space.- VIII C*-Algebras.- IX Normal Operators on Hilbert Space.- X Unbounded Operators.- XI Fredholm Theory.- Appendix A Preliminaries.- §1. Linear Algebra.- §2. Topology.- List of Symbols.

Reviews for A Course in Functional Analysis

Second Edition J.B. Conway A Course in Functional Analysis This book is an excellent text for a first graduate course in functional analysis ... Many interesting and important applications are included ... This book is a fine piece of work. It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author. -MATHEMATICAL REVIEWS