Full text
| |
| Author(s): |
Claudia Correa de Andrade Oliveira
Total Authors: 1
|
| Document type: | Doctoral Thesis |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) |
| Defense date: | 2014-08-11 |
| Examining board members: |
Daniel Victor Tausk;
Jorge Lopez Abad;
Jorge Tulio Mujica Ascui;
Valentin Raphael Henri Ferenczi;
Daniel Marinho Pellegrino
|
| Advisor: | Daniel Victor Tausk |
| Abstract | |
In this work, we study the c0-extension property in the context of spaces of continuous real-valued functions defined in a compact line. Our main result states that if K is a compact line, then every closed subspace of C(K) with separable dual has the c0-extension property in C(K) and therefore, the space C(K) has the Sobczyk property. We also present a characterization of the continuous order-preserving surjective maps phi : K --> L between compact lines such that the Banach subalgebra phi*C(L) has the c0-extension property in C(K). (AU) | |
| FAPESP's process: | 12/25171-0 - Study of problems in Banach spaces of the form C(K) |
| Grantee: | Claudia Correa de Andrade Oliveira |
| Support Opportunities: | Scholarships in Brazil - Doctorate |