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banach-stone theorem

Proceedings of the Edinburgh Mathematical Society (1)

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Linear isometries on subalgebras of uniformly continuous functions
Jesús Araujo, Juan J. Font
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 43 / Issue 1 / February 2000

Published online by Cambridge University Press:

20 January 2009, pp. 139-147
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We describe the linear surjective isometries between various subalgebras of uniformly continuous bounded functions defined on closed subsets of Banach spaces.