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Isometries on Banach Spaces - function spaces (Paperback)
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Isometries on Banach Spaces - function spaces (Paperback)
Series: Monographs and Surveys in Pure and Applied Mathematics
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Total price: R1,958
Discovery Miles: 19 580
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Fundamental to the study of any mathematical structure is an
understanding of its symmetries. In the class of Banach spaces,
this leads naturally to a study of isometries-the linear
transformations that preserve distances. In his foundational
treatise, Banach showed that every linear isometry on the space of
continuous functions on a compact metric space must transform a
continuous function x into a continuous function y satisfying y(t)
= h(t)x(p(t)), where p is a homeomorphism and |h| is identically
one. Isometries on Banach Spaces: Function Spaces is the first of
two planned volumes that survey investigations of Banach-space
isometries. This volume emphasizes the characterization of
isometries and focuses on establishing the type of explicit,
canonical form given above in a variety of settings. After an
introductory discussion of isometries in general, four chapters are
devoted to describing the isometries on classical function spaces.
The final chapter explores isometries on Banach algebras. This
treatment provides a clear account of historically important
results, exposes the principal methods of attack, and includes some
results that are more recent and some that are lesser known. Unique
in its focus, this book will prove useful for experts as well as
beginners in the field and for those who simply want to acquaint
themselves with this area of Banach space theory.
General
Imprint: |
Crc Press
|
Country of origin: |
United Kingdom |
Series: |
Monographs and Surveys in Pure and Applied Mathematics |
Release date: |
September 2019 |
First published: |
2002 |
Authors: |
Richard J. Fleming
• James E. Jamison
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Dimensions: |
234 x 156mm (L x W) |
Format: |
Paperback
|
Pages: |
208 |
ISBN-13: |
978-0-367-39557-5 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
0-367-39557-6 |
Barcode: |
9780367395575 |
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