A Course in Functional Analysis / Edition 2

by John B Conway

Overview

This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general.

From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....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

Product Details

ISBN-13:	9781441930927
Publisher:	Springer New York
Publication date:	12/01/2010
Series:	Graduate Texts in Mathematics Series , #96
Edition description:	Softcover reprint of hardcover 2nd ed. 1990
Pages:	400
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

1: Hilbert Spaces. 2: Operators on Hilbert Space. 3: Banach Spaces. 4: Locally Convex Spaces. 5: Weak Topologies. 6: Linear Operators on a Banach Space. 7: Banach Algebras and Spectral Theory for Operators on a Banach Space. 8: C^* Algebras. 9: Normal Operators on Hilbert Space. 10: Unbounded Operators. 11: Fredholm Theory.

Editorial Reviews

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

From 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)

From the Publisher

Additional exercises, updated references and a rewritten final chapter (Fredholm Theory) distinguish this new edition of a text in which the renowned John Conway undertakes to acquaint graduate students with the most important of the many faces of "functional analysis". He writes with engaging informality (verbal, not mathematical), and has the rare good sense to proceed from the concrete to the abstract, rather than the reverse. (NW) Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews