Homomorphisms on Lipschitz Spaces
Autor: | Jorge Bustamante González, José R. Arrazola Ramírez |
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Rok vydání: | 2000 |
Předmět: | |
Zdroj: | Monatshefte f�r Mathematik. 129:25-30 |
ISSN: | 1436-5081 0026-9255 |
DOI: | 10.1007/s006050050003 |
Popis: | 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). |
Databáze: | OpenAIRE |
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