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Isometries of spaces of unbounded continuous functions
Published online by Cambridge University Press: 17 April 2009
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.
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- Research Article
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- Copyright © Australian Mathematical Society 2001
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