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.
Registro:
Documento: |
Artículo
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Título: | Coherent sequences of polynomial ideals on Banach spaces |
Autor: | Carando, D.; Dimant, V.; Muro, S. |
Filiación: | Departamento de Matemática - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, (C1428EGA) Buenos Aires, and Conicet, Argentina Departamento de Matemática, Universidad de San Andrés, Vito Dumas 284, (B1644BID) Victoria, Buenos Aires, and Conicet, Argentina
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Palabras clave: | Operator ideals; Polynomial ideals; Tensor norms |
Año: | 2009
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Volumen: | 282
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Número: | 8
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Página de inicio: | 1111
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Página de fin: | 1133
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DOI: |
http://dx.doi.org/10.1002/mana.200610791 |
Título revista: | Mathematische Nachrichten
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Título revista abreviado: | Math. Nachr.
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ISSN: | 0025584X
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v282_n8_p1111_Carando |
Referencias:
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Citas:
---------- APA ----------
Carando, D., Dimant, V. & Muro, S.
(2009)
. Coherent sequences of polynomial ideals on Banach spaces. Mathematische Nachrichten, 282(8), 1111-1133.
http://dx.doi.org/10.1002/mana.200610791---------- CHICAGO ----------
Carando, D., Dimant, V., Muro, S.
"Coherent sequences of polynomial ideals on Banach spaces"
. Mathematische Nachrichten 282, no. 8
(2009) : 1111-1133.
http://dx.doi.org/10.1002/mana.200610791---------- MLA ----------
Carando, D., Dimant, V., Muro, S.
"Coherent sequences of polynomial ideals on Banach spaces"
. Mathematische Nachrichten, vol. 282, no. 8, 2009, pp. 1111-1133.
http://dx.doi.org/10.1002/mana.200610791---------- VANCOUVER ----------
Carando, D., Dimant, V., Muro, S. Coherent sequences of polynomial ideals on Banach spaces. Math. Nachr. 2009;282(8):1111-1133.
http://dx.doi.org/10.1002/mana.200610791