A Course in Functional Analysis

This book is an introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general. The student will also appreciate the large number of examples and exercises which have been included.

Second EditionJ.B. ConwayA 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 REVIEWSFrom the reviews of the second edition:This book should be in the library of anyone teaching functional analysis or who wants a working mathematician's masterfully developed course on functional analysis . This book is a comprehensive introduction to functional analysis. I definitely recommend this book to anyone who really want/need to learn true functional analysis for graduate work. (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, October, 2013)

Autorentext


Inhalt
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.

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