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Type: Artigo de periódico
Title: Weakly continuous holomorphic functions on Banach spaces with a shrinking and unconditional basis
Author: Berrios, S
Abstract: Let E and F be complex Banach spaces, and let U be an open ball in E. We show that if E has a shrinking and unconditional basis, then every holomorphic function f : U -> F that is weakly continuous on U-bounded sets is weakly uniformly continuous on U-bounded sets. (C) 2007 Elsevier Inc. All rights reserved.
Subject: holomorphic functions
Banach space
unconditional basis
shrinking basis
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jmaa.2007.04.005
Date Issue: 2008
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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