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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.)

A holomorphic characterization of compact sets in Banach spaces

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Author(s):
Carrion, Humberto ; Galindo, Pablo ; Lourenco, Mary Lilian
Total Authors: 3
Document type: Journal article
Source: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 47, n. 3, p. 863-869, SEP 2016.
Web of Science Citations: 0
Abstract

An extension of Lempert's result about non approximability by entire functions of analytic functions on some open subsets of a{''}{''}(a) is obtained for Banach spaces having a bounding non relatively compact set.We also prove that subsets A that are bounding for analytic functions defined in any of its neighborhoodswhose boundary lies at positive distance from A are relatively compact. (AU)

FAPESP's process: 12/01015-9 - Polynomials and holomorphic functions in Banach spaces
Grantee:Mary Lilian Lourenco
Support Opportunities: Regular Research Grants