An Introductory Course in Functional Analysis (Universitext) - Softcover

Bowers, Adam; Kalton, Nigel J.

 
9781493919444: An Introductory Course in Functional Analysis (Universitext)

Synopsis

Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the HahnBanach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the MilmanPettis theorem.

With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.

"synopsis" may belong to another edition of this title.

About the Author

Nigel Kalton (1946–2010) was Curators' Professor of Mathematics at the University of Missouri. Adam Bowers is a mathematics lecturer at the University of California, San Diego.

From the Back Cover

Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the HahnBanach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the MilmanPettis theorem.

With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9781493919468: An Introductory Course in Functional Analysis

Featured Edition

ISBN 10:  1493919466 ISBN 13:  9781493919468
Publisher: Springer, 2014
Softcover