| Full text | |
| Author(s): |
Correa, Claudia
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Fed ABC, Ctr Matemat Comp & Cognicao, Santo Andre, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | STUDIA MATHEMATICA; v. 256, n. 3, p. 345-359, 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 18/09797-2 - Geometry of C(K)-Banach spaces |
| Grantee: | Claudia Correa de Andrade Oliveira |
| Support Opportunities: | Regular Research Grants |