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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Boundaries for algebras of analytic functions on function module Banach spaces

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Author(s):
Acosta, M. D. [1] ; Galindo, P. [2] ; Lourenco, M. L. [3]
Total Authors: 3
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
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