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Type: Artigo de periódico
Title: Weak-strong continuity of multilinear mappings and the Pelczynski-Pitt theorem
Author: Alencar, R
Floret, K
Abstract: In generalizing a result of Pelczynski the sequential weak to norm continuity of N-linear mappings between certain Banach spaces (including spaces of type and cotype) will be studied. In particular, it is shown that every N-linear continuous mapping from l(p1) x ... x l(pN) into l(q) is compact if and only if Sigma(i=1)(n)(1/p(i)) < 1/q. (C) 1997 Academic Press.
Editor: Academic Press Inc Jnl-comp Subscriptions
Citation: Journal Of Mathematical Analysis And Applications. Academic Press Inc Jnl-comp Subscriptions, v. 206, n. 2, n. 532, n. 546, 1997.
Rights: fechado
Identifier DOI: 10.1006/jmaa.1997.5253
Date Issue: 1997
Appears in Collections:Unicamp - Artigos e Outros Documentos

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