Isometrics on Banach Spaces

Richard J. Fleming, James E. Jamison9781584880400, 1-58488-040-6

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.

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Table of contents :
Contents……Page 6
Preface……Page 8
Ch 1 Beginnings……Page 12
Ch 2 Continous Function Spaces-The Banach Stone Theorem……Page 36
Ch 3 The Lp Spaces……Page 60
Ch 4 Isometrics of Spaces of Analytic Functions……Page 90
Ch 5 Rearrangement Invariant Spaces……Page 114
Ch 6 Banach Algebras……Page 156
Bibliography……Page 192
Index……Page 204