| Full text | |
| Author(s): |
dos Santos Fajardo, Rogerio Augusto
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | STUDIA MATHEMATICA; v. 212, n. 3, p. 259-283, 2012. |
| Web of Science Citations: | 2 |
| Abstract | |
Assuming lozenge,we construct a connected compact topological space K such that for every closed L subset of K the Banach space C(L) has few operators, in the sense that every operator on C(L) is multiplication by a continuous function plus a weakly compact operator. In particular, C(K) is indecomposable and has continuum many non-isomorphic indecomposable quotients, and K does not contain a homeomorphic copy of beta N. Moreover, assuming CH we construct a connected compact K where C(K) has few operators and K contains a homeomorphic copy of beta N. (AU) | |