Now revised and updated, this brisk introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have had some background in real analysis. The author's aim is not just to cover the standard material in a standard way, but to present results of application in contemporary mathematics and to show the relevance of functional analysis to other areas. Unusual topics covered include the geometry of finite-dimensional spaces, invariant subspaces, fixed-point theorems, and the Bishop-Phelps theorem. An outstanding feature is the large number of exercises, some straightforward, some challenging, none uninteresting.
- ISBN13 9780521655774
- Publish Date 4 March 1999 (first published 29 November 1990)
- Publish Status Active
- Out of Print 7 July 2021
- Publish Country GB
- Imprint Cambridge University Press
- Edition 2nd Revised edition
- Format Paperback (US Trade)
- Pages 256
- Language English