| Texto completo | |
| Autor(es): |
Candido, Leandro
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | STUDIA MATHEMATICA; v. 232, n. 1, p. 1-6, 2016. |
| Citações Web of Science: | 1 |
| Resumo | |
For a locally compact Hausdorff space K and a Banach space X let C-0(K, X) denote the space of all continuous functions f : K -> X which vanish at infinity, equipped with the supremum norm. If X is the scalar field, we denote C-0(K, X) simply by C-0(K). We prove that for locally compact Hausdorff spaces K and L and for a Banach space X containing no copy of c(0), if there is an isomorphic embedding of C-0(K) into C-0(L, X), then either K is finite or vertical bar K vertical bar <= vertical bar L vertical bar. As a consequence, if there is an isomorphic embedding of C-0(K) into C-0(L, X) where X contains no copy of c(0) and L is scattered, then K must be scattered. (AU) | |
| Processo FAPESP: | 12/15957-6 - Sobre os espaços de Banach $C_0(K,X)$ e a topologia de $K$. |
| Beneficiário: | Leandro Candido Batista |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |