| Texto completo | |
| Autor(es): |
Correa, Claudia
[1]
Número total de Autores: 1
|
| Afiliação do(s) autor(es): | [1] Univ Fed ABC, Ctr Matemat Comp & Cognicao, Santo Andre, SP - Brazil
Número total de Afiliações: 1
|
| Tipo de documento: | Artigo Científico |
| Fonte: | STUDIA MATHEMATICA; v. 256, n. 3, p. 345-359, 2021. |
| Citações Web of Science: | 0 |
| Resumo | |
In this work we investigate the c(0)-extension property. This property generalizes Sobczyk's theorem in the context of nonseparable Banach spaces. We prove that a sufficient condition for a Banach space to have this property is that its closed dual unit ball is weak-star monolithic. We also present several results about the c(0)-extension property in the context of C(K) Banach spaces. An interesting result in the realm of C(K) spaces is that the existence of a Corson compactum K such that C(K) does not have the c(0)-extension property is independent of the axioms of ZFC. (AU) | |
| Processo FAPESP: | 18/09797-2 - Geometria dos Espaços de Banach da forma C(K) |
| Beneficiário: | Claudia Correa de Andrade Oliveira |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |