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Isometries on Banach Spaces
- function spaces
Engelsk
Bogcover for Isometries on Banach Spaces af Richard J. Fleming, James E. Jamison, 9780367395575
Specifikationer
Sprog:
Engelsk
Sider:
208
ISBN-13:
9780367395575
Indbinding:
Paperback
ISBN-10:
0367395576
Udg. Dato:
5 sep 2019
Størrelse i cm:
23,4 x 15,6
Oplagsdato:
5 sep 2019

Isometries on Banach Spaces

- function spaces
Engelsk
Paperback 2019
Format:

Bog beskrivelse
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.



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Specifikationer
Sprog:
Engelsk
Sider:
208
ISBN-13:
9780367395575
Indbinding:
Paperback
ISBN-10:
0367395576
Udg. Dato:
5 sep 2019
Størrelse i cm:
23,4 x 15,6
Oplagsdato:
5 sep 2019
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