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Type: Artigo de periódico
Title: Polynomial approximation in Banach spaces
Author: Vieira, DM
Abstract: We define new classes of topological algebras of holomorphic functions on open subsets of Banach spaces, and on open subsets of dual Banach spaces. We investigate properties and derive results concerning polynomial approximation on such algebras. We give an explicit description of their spectra, derive results on finitely generated ideals, and theorems of Banach-Stone type. We show that under certain conditions on the open subset U, this new algebra coincides with H-wu (U), deriving new results on H-wu (U). (c) 2006 Elsevier Inc. All rights reserved.
Subject: holomorphic functions
Banach spaces
Schauder basis
polynomially convex domain
Country: EUA
Editor: Academic Press Inc Elsevier Science
Citation: Journal Of Mathematical Analysis And Applications. Academic Press Inc Elsevier Science, v. 328, n. 2, n. 984, n. 994, 2007.
Rights: fechado
Identifier DOI: 10.1016/j.jmaa.2006.05.076
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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