Coherent sequences of polynomial ideals on Banach spaces |
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| Authors: | Daniel Carando Verónica Dimant Santiago Muro |
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| Institution: | 1. Departamento de Matemática – Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, (C1428EGA) Buenos Aires, and Conicet, Argentina;2. Departamento de Matemática, Universidad de San Andrés, Vito Dumas 284, (B1644BID) Victoria, Buenos Aires, and Conicet, Argentina;3. Phone: +5411 4725‐7037, Fax: +5411 4725‐7100;4. Phone: +5411 4576‐3390 (ext 920), Fax: +5411 4576‐3335 |
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| 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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| Keywords: | Polynomial ideals operator ideals tensor norms |
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