Homomorphisms on Lipschitz Spaces |
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Authors: | Jorge Bustamante González José R. Arrazola Ramírez |
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Affiliation: | (1) Universidad Autónoma de Puebla, Mexico, MX |
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Abstract: | Denote by the family of all real valued functions on a metric space which satisfy a Lipschitz condition on the compact (bounded) subsets of X. We prove that every homomorphism on is the evaluation at some point of X if and only if X is realcompact (every closed bounded subset of X is compact). (Received 4 November 1998; in revised form 31 May 1999) |
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Keywords: | 1991 Mathematics Subject Classification: 26A16, 54D60 |
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