Homomorphisms on Lipschitz spaces

Authors
Gonzalez, JB Ramirez, JRA
Citation
Jb. Gonzalez et Jra. Ramirez, Homomorphisms on Lipschitz spaces, MONATS MATH, 129(1), 2000, pp. 25-30
Citations number
13
Categorie Soggetti
Mathematics
Journal title
MONATSHEFTE FUR MATHEMATIK
ISSN journal
00269255 → ACNP
Volume
129
Issue
1
Year of publication
2000
Pages
25 - 30
Database
ISI
SICI code
0026-9255(2000)129:1<25:HOLS>2.0.ZU;2-9
Abstract
Denote by Lip(c)(X, d)(Lip(b)(X, d)) the family of all real valued function s on a metric space (X, d) which satisfy a Lipschitz condition on the compa ct (bounded) subsets of X. We prove that every homomorphism on Lip(c)(X, d) (Lip(b)(X, d)) is the evaluation at some point of X if and only if X is re alcompact (every closed bounded subset of X is compact).