| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada - Spain
[2] Univ Valencia, Dept Anal Matemat, Fac Matemat, E-46100 Valencia - Spain
[3] Univ Sao Paulo, Dept Matemat & Estat, BR-05311970 Sao Paulo - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Mathematische Nachrichten; v. 287, n. 7, p. 729-736, MAY 2014. |
| Web of Science Citations: | 0 |
| Abstract | |
We consider the uniform algebra A(BX) of continuous and bounded functions that are analytic on the interior of the closed unit ball BX of a complex Banach function module X. We focus on norming subsets of BX, i.e., boundaries, for such algebra. In particular, if X is a dual complex Banach space whose centralizer is infinite-dimensional, then the intersection of all closed boundaries is empty. This also holds in case that X is an -sum of infinitely many Banach spaces and further, the torus is a boundary. (AU) | |
| FAPESP's process: | 12/01015-9 - Polynomials and holomorphic functions in Banach spaces |
| Grantee: | Mary Lilian Lourenco |
| Support Opportunities: | Regular Research Grants |