Isometries in Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two (Monographs and Surveys in Pure and Applied Mathematics)
Language: English
Published by Chapman and Hall/CRC, 2007
Series: Book 17 of 34 - Monographs and Surveys in Pure and Applied Mathematics
- Hardcover
- New
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In English.
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- Title
- Isometries in Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two (Monographs and Surveys in Pure and Applied Mathematics)
- Author
- Fleming, Richard J.; Jamison, James E.
- Publisher
- Chapman and Hall/CRC
- Publication year
- 2007
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 1584883863
- ISBN 13
- 9781584883869
- Item weight
- 740 grams
- Series
- Book 17 of 34: Monographs and Surveys in Pure and Applied Mathematics
A continuation of the authors’ previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two covers much of the work that has been done on characterizing isometries on various Banach spaces.
Picking up where the first volume left off, the book begins with a chapter on the Banach–Stone property. The authors consider the case where the isometry is from C0(Q, X) to C0(K, Y) so that the property involves pairs (X, Y) of spaces. The next chapter examines spaces X for which the isometries on LP(μ, X) can be described as a generalization of the form given by Lamperti in the scalar case. The book then studies isometries on direct sums of Banach and Hilbert spaces, isometries on spaces of matrices with a variety of norms, and isometries on Schatten classes. It subsequently highlights spaces on which the group of isometries is maximal or minimal. The final chapter addresses more peripheral topics, such as adjoint abelian operators and spectral isometries.
Essentially self-contained, this reference explores a fundamental aspect of Banach space theory. Suitable for both experts and newcomers to the field, it offers many references to provide solid coverage of the literature on isometries.
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