| Texto completo | |
| Autor(es): |
Número total de Autores: 2
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| Afiliação do(s) autor(es): | [1] Univ Sao Paulo, Dept Matemat, BR-05508 Sao Paulo - Brazil
Número total de Afiliações: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Mathematical Analysis and Applications; v. 405, n. 2, p. 400-408, SEP 15 2013. |
| Citações Web of Science: | 2 |
| Resumo | |
We study pairs of Banach spaces (X, Y), with Y subset of X, for which the thesis of Sobczyk's theorem holds, namely, such that every bounded c(0)-valued operator defined in Y extends to X. We are mainly concerned with the case when X is a C(K) space and Y C(L) is a Banach subalgebra of C(K). The main result of the article states that, if K is a compact line and L is countable, then every bounded c(0)-valued operator defined in C(L) extends to C(K). (c) 2013 Elsevier Inc. All rights reserved. (AU) | |
| Processo FAPESP: | 10/17853-8 - Métodos de topologia conjuntista em operadores sobre espaços de Banach da forma C(K) |
| Beneficiário: | Claudia Correa de Andrade Oliveira |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |