The first of two planned volumes on Banach-space isometries, this text characterizes isometries and describes them in classical function spaces. Fleming (mathematics, Central Michigan U.) and Jamison (mathematical sciences, U. of Memphis) give historically important results, expose methods of attack
Isometrics on Banach Spaces
โ Scribed by FLeming R. J., Jamison J. E.
- Year
- 2002
- Tongue
- English
- Leaves
- 208
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
The first of two planned volumes on Banach-space isometries, this text characterizes isometries and describes them in classical function spaces. Fleming (mathematics, Central Michigan U.) and Jamison (mathematical sciences, U. of Memphis) give historically important results, expose methods of attack, and include recent and lesser-known results. Topics include Eilenberg's theorem, Lamperti's results, Bergman spaces, Zaidenberg's generalization, and Musielak-Orlicz Spaces.
๐ SIMILAR VOLUMES
The purpose of this book is to present the main structure theorems in the isometric theory of classical Banach spaces. Elements of general topology, measure theory, and Banach spaces are assumed to be familiar to the reader.