Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/59984
Type: Artigo de periódico
Title: Inclusion theorems for absolutely summing holomorphic mappings
Author: Junek, H
Matos, MC
Pellegrino, D
Abstract: For linear operators, if 1 <= p <= q < infinity, then every absolutely p-summing operator is also absolutely q-summing. On the other hand, it is well known that for n >= 2, there are no general "inclusion theorems" for absolutely summing n-linear mappings or n-homogeneous polynomials. In this paper we deal with situations in which the spaces of absolutely p-summing and absolutely q-summing linear operators coincide, and prove that for 1 <= p <= q <= 2 and n >= 2, we have inclusion theorems for absolutely summing n-linear mappings/n-homogeneous polynomials/holomorphic mappings. It is worth mentioning that our results hold precisely in the opposite direction from what is expected in the linear case, i.e., we show that, in some situations, as p increases, the classes of absolutely p-summing mappings becomes smaller.
Country: EUA
Editor: Amer Mathematical Soc
Rights: aberto
Identifier DOI: 10.1090/S0002-9939-08-09394-5
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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