Boundaries for algebras of analytic functions on function module Banach spaces

Autor(es)

Acosta, M. D. ^[1] ; Galindo, P. ^[2] ; Lourenco, M. L. ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Mathematische Nachrichten; v. 287, n. 7, p. 729-736, MAY 2014.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 12/01015-9 - Polinômios e funções holomorfas em espaços de Banach
• Beneficiário: Mary Lilian Lourenco
• Modalidade de apoio: Auxílio à Pesquisa - Regular