Isometries in Banach Spaces : Vector-valued Function Spaces and Operator Spaces, Volume Two

Richard J. Fleming

ISBN 10: 1584883863 / ISBN 13: 9781584883869

Published by Taylor & Francis Inc Nov 2007, 2007

About this Item

Neuware - Focuses on canonical-form characterizations of isometries on Banach spaces. This monograph explores the topic in the context of vector-valued function spaces and operator spaces. It looks at some of the wide variety of methods used in addressing the characterization problem in various types of spaces.

Seller Inventory # 9781584883869

Bibliographic Details

• Title: Isometries in Banach Spaces : Vector-valued Function Spaces and Operator Spaces, Volume Two
• Publisher: Taylor & Francis Inc Nov 2007
• Publication Date: 2007
• Language: English
• ISBN 10: 1584883863
• ISBN 13: 9781584883869
• Binding: Buch
• Condition: Neu
• Dimensions: 234W x 156H x 0D millimeters 234 millimeters width by 156 millimeters height by 0 millimeters depth
• Weight: 544 grams

About this title

Synopsis

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.

About the Author

Richard J. Fleming, James E. Jamison