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Isometries of Noncompact Lipschitz Spaces

Published online by Cambridge University Press:  20 November 2018

Nik Weaver
Nik Weaver*
Affiliation:
Mathematics Department, University of California, Santa Barbara, California 93106 U.S.A.
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Abstract

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We show that under reasonable restrictions on the metric spaces X and Y, every surjective isometric isomorphism between Lip(X) and Lip(Y) arises in a simple manner from an isometry between X and Y. Our result differs from several previous results along these lines in that we do not require X and Y to be compact.

Keywords

46B0446E1554E35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 2 , 01 June 1995 , pp. 242 - 249
Copyright
Copyright © Canadian Mathematical Society 1995

References

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