Coherent sequences of polynomial ideals on Banach spaces

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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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Autores principales: Carando, Daniel German, Dimant, Verónica, Muro, Santiago
Publicado: 2009
Materias:
Operator ideals
Polynomial ideals
Tensor norms
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v282_n8_p1111_Carando
http://hdl.handle.net/20.500.12110/paper_0025584X_v282_n8_p1111_Carando
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0025584X_v282_n8_p1111_Carando
record_format dspace
spelling paper:paper_0025584X_v282_n8_p1111_Carando2023-06-08T14:53:21Z Coherent sequences of polynomial ideals on Banach spaces Carando, Daniel German Dimant, Verónica Muro, Santiago Operator ideals Polynomial ideals Tensor norms 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. Fil:Carando, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Dimant, V. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Muro, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v282_n8_p1111_Carando http://hdl.handle.net/20.500.12110/paper_0025584X_v282_n8_p1111_Carando
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Operator ideals
Polynomial ideals
Tensor norms
spellingShingle Operator ideals
Polynomial ideals
Tensor norms
Carando, Daniel German
Dimant, Verónica
Muro, Santiago
Coherent sequences of polynomial ideals on Banach spaces
topic_facet Operator ideals
Polynomial ideals
Tensor norms
description 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.
author Carando, Daniel German
Dimant, Verónica
Muro, Santiago
author_facet Carando, Daniel German
Dimant, Verónica
Muro, Santiago
author_sort Carando, Daniel German
title Coherent sequences of polynomial ideals on Banach spaces
title_short Coherent sequences of polynomial ideals on Banach spaces
title_full Coherent sequences of polynomial ideals on Banach spaces
title_fullStr Coherent sequences of polynomial ideals on Banach spaces
title_full_unstemmed Coherent sequences of polynomial ideals on Banach spaces
title_sort coherent sequences of polynomial ideals on banach spaces
publishDate 2009
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v282_n8_p1111_Carando
http://hdl.handle.net/20.500.12110/paper_0025584X_v282_n8_p1111_Carando
work_keys_str_mv AT carandodanielgerman coherentsequencesofpolynomialidealsonbanachspaces
AT dimantveronica coherentsequencesofpolynomialidealsonbanachspaces
AT murosantiago coherentsequencesofpolynomialidealsonbanachspaces
_version_ 1768546196676149248

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