Author:
Araujo Jesús,Jarosz Krzysztof
Abstract
By the classical Banach-Stone Theorem any surjective isometry between Banach spaces of bounded continuous functions defined on compact sets is given by a homeomorphism of the domains. We prove that the same description applies to isometries of metric spaces of unbounded continuous functions defined on non compact topological spaces.
Publisher
Cambridge University Press (CUP)
Cited by
1 articles.
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1. Local isometries of function spaces;Mathematische Zeitschrift;2003-03-01