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Isometries on Banach Spaces

function spaces

Isometries on Banach Spaces by Richard J. Fleming
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BEGINNINGS
Introduction
Banach's Characterization of Isometries on C(Q)
The Mazur-Ulam Theorem
Orthogonality
The Wold Decomposition
Notes and Remarks
CONTINUOUS FUNCTION SPACES--THE BANACK-STONE THEOREM
Introduction
Eilenberg's Theorem
The Nonsurjective case
A Theorem of Vesentini
Notes and Remarks
THE L(p) SPACES
Introduction
Lamperti's Results
Subspaces of L(p) and the Extension Theorem
Bochner Kernels
Notes and Remarks
ISOMETRIES OF SPACES OF ANALYTIC FUNCTIONS
Introduction
Isometries of the Hardy Spaces of the disk
Bergman spaces
Bloch Spaces
S(p) Spaces
Notes and Remarks
REARRANGEMENT INVARIANT SPACES
Introduction
Lumer's Method for Orlicz Spaces
Zaidenberg's Generalization
Musielak-Orlicz Spaces
Notes and Remarks
BANACH ALGEBRAS
Introduction
Kadison's Theorem
Subdifferentiability and Kadison's Theorem
The Nonsurjective Case of Kadison's theorem
The Algebras C(1) and AC
Douglas Algebras
Notes and Remarks
BIBLIOGRAPHY
INDEX
CRC Press; December 2002
209 pages; ISBN 9781420026153
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Title: Isometries on Banach Spaces
Author: Richard J. Fleming; James E. Jamison
 
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