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Type: Artigo de periódico
Title: Fully summing multilinear and holomorphic mappings into Hilbert spaces
Author: Pellegrino, D
Souza, M
Abstract: It is known that whenever E-1,...,E-n are infinite dimensional L infinity-spaces and F is any infinite dimensional Banach space, there exists a bounded n-linear mapping from E-1 x...x E-n into F that fails to be absolutely (1; 2)-summing. In this paper we generalize a theorem of S. Kwapien and obtain a sufficient condition in order to assure that a given n-linear mapping T from infinite dimensional L infinity-spaces into an infinite dimensional Hilbert space is absolutely (1; 2)-summing. Besides, we also give a sufficient condition in order to obtain a fully (1; 1)-summing multilinear mapping from l(1) x...x l(1) x l(2) into an infinite dimensional Hilbert space. In the last section we introduce the concept of fully summing holomorphic mappings and give the first examples of this kind of map. (c) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Subject: absolutely summing mappings
multilinear mappings
holomorphic mappings
holomorphy type
Country: Alemanha
Editor: Wiley-v C H Verlag Gmbh
Citation: Mathematische Nachrichten. Wiley-v C H Verlag Gmbh, v. 278, n. 41858, n. 877, n. 887, 2005.
Rights: fechado
Identifier DOI: 10.1002/mana.200310279
Date Issue: 2005
Appears in Collections:Unicamp - Artigos e Outros Documentos

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