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Coherent sequences of polynomial ideals on Banach spaces

✍ Scribed by Daniel Carando; Verónica Dimant; Santiago Muro

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 259 KB
Volume: 282
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200610791

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✦ Synopsis

Abstract

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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