Isometries on Banach spaces : vector-valued function spaces : volume 2 /: vector-valued function spaces : volume 2. (©2008)

• Record Type: Book
• Further Information: Note: Richard J. Fleming, James E. Jamison.
• Other Names: Fleming, Richard J; Jamison, James E; CRC Press.
• Contents: Preface ; THE BANACH – STONE PROPERTY ; Introduction; Strictly Convex Spaces and Jerison’s Theorem; M Summands and Cambern’s Theorem; Centralizers, Function Modules, and Behrend’s Theorem; The Nonsurjective Vector-Valued Case; The Nonsurjective Case for Nice Operators; Notes and Remarks; The Banach–Stone Property for Bochner Spaces ; Introduction; LP Functions with Values in Hilbert Space; LP Functions with Values in Banach Space; L2 Functions with Values in Banach Space; Notes and Remarks; Orthogonal Decompostions ; Introduction; Sequence Space Decompositions; Hermitian Elements and Orthonormal Systems; The Case for Real Scalars: Functional Hilbertian Sums; Decompositions with Banach Space Factors; Notes and Remarks; Matrix Spaces ; Introduction; Morita’s Proof of Schur’s Theorem; Isometries for (p, k ) Norms on Square Matrix Spaces; Isometries for (p, k ) Norms on Rectangular Matrix Spaces; Notes and Remarks; Isometries of Norm Ideals of Operators ; Introduction; Isometries of CP ; Isometries of Symmetric Norm Ideals: Sourour’s Theorem; Noncommutative LP Spaces; Notes and Remarks; Minimal and Maximal Norms ; Introduction; An Infinite-Dimensional Space with Trivial Isometries; Minimal Norms; Maximal Norms and Forms of Transitivity; Notes and Remarks; Epilogue ; Reflexivity of the Isometry Group; Adjoint Abelian Operators; Almost Isometries; Distance One Preserving Maps; Spectral Isometries; Isometric Equivalence; Potpourri; BIBLIOGRAPHY ; INDEX
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 2008
• Copyright Date: 2008
• Extent: 1 online resource (ix, 234 pages)
• Subjects: 515/.732; Banach spaces; Function spaces; Operator spaces; Isometrics (Mathematics); MATHEMATICS -- Transformations; Banach spaces; Function spaces; Isometrics (Mathematics); Operator spaces; Electronic books
• Languages: English
• ISBNs: 9781584883869; 1584883863; 9781420010206; 1420010204
• Notes: Note: Includes bibliographical references (pages 213-227) and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.