Coherent sequences of polynomial ideals on Banach spaces

This article deals with the relationship between an operator ideal and its natural polynomial extensions. We define the concept of coherent sequence of polynomial ideals and also the notion of compatibility between polynomial and operator ideals. We study the stability of these properties for maxima...

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Autor principal: Carando, D.
Otros Autores: Dimant, V., Muro, S.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2009
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Sumario:This article deals with the relationship between an operator ideal and its natural polynomial extensions. We define the concept of coherent sequence of polynomial ideals and also the notion of compatibility between polynomial and operator ideals. We study the stability of these properties for maximal and minimal hulls, adjoint and composition ideals. We also relate these concepts with conditions on the underlying tensor norms. © 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
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ISSN:0025584X
DOI:10.1002/mana.200610791