An introductory course in functional analysis / Adam Bowers, Nigel J. Kalton.
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...
Saved in:
| Online Access: |
Full Text (via Springer) |
|---|---|
| Main Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer,
2014.
|
| Series: | Universitext.
|
| Subjects: |
| Summary: | 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 Hahn?Banach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the Milman?Pettis 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. |
|---|---|
| Physical Description: | 1 online resource (xvi, 232 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781493919451 1493919458 149391944X 9781493919444 |
| ISSN: | 0172-5939. |
| Source of Description, Etc. Note: | Online resource; title from PDF title page (SpringerLink, viewed December 31, 2014) |