Homomorphisms on Lipschitz Spaces

Autor: Jorge Bustamante González, José R. Arrazola Ramírez
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