| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Dept Matemat, Sao Paulo - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Results in Mathematics; v. 67, n. 3-4, p. 445-455, JUN 2015. |
| Web of Science Citations: | 2 |
| Abstract | |
We prove that every isometric copy of C(L) in C(K) is complemented if L is a compact Hausdorff space of finite height and K is a compact Hausdorff space satisfying the extension property, i.e., every closed subset of K admits an extension operator. The space C(L) can be replaced by its subspace C(L vertical bar F) consisting of functions that vanish on a closed subset F of L. We also study the class of spaces having the extension property, establishing some stability results for this class and relating it to other classes of compact spaces. (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 |