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Coherent sequences of polynomial ideals on Banach spaces
Author(s) -
Carando Daniel,
Dimant Verónica,
Muro Santiago
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200610791
Subject(s) - mathematics , polynomial , banach space , pure mathematics , polynomial ring , ideal (ethics) , discrete mathematics , algebra over a field , mathematical analysis , philosophy , epistemology
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)