A Course in Functional Analysis by John B Conway

A Course in Functional Analysis by John B Conway

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Summary

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.

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A Course in Functional Analysis by John B Conway

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.

Second Edition

JB. 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)

Conway, John B.: - John B. Conway is Professor Emeritus of Mathematics at George Washington University, Washington DC. He is the author of eleven books, including Mathematical Connections: A Capstone Course (2010), A Course in Functional Analysis (2010), and the two-volume Functions of One Complex Variable (1995).
SKU Unavailable
ISBN 13 9781441930927
ISBN 10 1441930922
Title A Course in Functional Analysis
Author John B Conway
Series Graduate Texts In Mathematics
Condition Unavailable
Binding Type Paperback
Publisher Springer-Verlag New York Inc.
Year published 2010-12-01
Number of pages 400
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable