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Type: Artigo de periódico
Title: The Approximation Property For Spaces For 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), τ0) denote the vector space of all holomorphic functions on U, with the compact-open topology. If E is a separable Fréchet space with the bounded approximation property, or if E is a (DFC)-space with the approximation property, we show that (H(U), τ0) 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. © 2003 Elsevier Inc. All rights reserved.
Rights: fechado
Identifier DOI: 10.1016/j.jat.2004.01.008
Date Issue: 2004
Appears in Collections:Unicamp - Artigos e Outros Documentos

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