Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/78334
Type: Artigo de periódico
Title: The approximation property for spaces of holomorphic functions on infinite-dimensional spaces I
Author: Dineen, S
Mujica, J
Abstract: For an open subset U of a locally convex space E, let (H(U), tau(0)) denote the vector space of all holomorphic functions on U, with the compact-open topology. If E is a separable Frechet space with the bounded approximation property, or if E is a (DFC)-space with the approximation property, we show that (H(U), tau(0)) has the approximation property for every open subset U of E. These theorems extend classical results of Aron and Schottenloher. As applications of these approximation theorems we characterize the spectra of certain topological algebras of holomorphic mappings with values in a Banach algebra. (C) 2003 Elsevier Inc. All rights reserved.
Subject: holomorphic function
frechet space
(DFC)-space
approximation property
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jat.2004.01.008
Date Issue: 2004
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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