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Isometries in Banach Spaces
Vector-valued Function Spaces and Operator Spaces
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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(A , 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.
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Taylor & Francis; November 2007
245 pages; ISBN 9781420010206
Read online, or download in secure PDF format
245 pages; ISBN 9781420010206
Read online, or download in secure PDF format
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1420010204
9781420010206
9781584883869