Natural symmetric tensor norms

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In the spirit of the work of Grothendieck, we introduce and study natural symmetric n-fold tensor norms. These are norms obtained from the projective norm by some natural operations. We prove that there are exactly six natural symmetric tensor norms for n≥ 3, a noteworthy difference with the 2-fold...

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Autores principales: Carando, D., Galicer, D.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2012
Materias:
Banach algebras
Natural tensor norms
Polynomials in Banach spaces
Symmetric tensor products
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v387_n2_p568_Carando
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paperaa:paper_0022247X_v387_n2_p568_Carando
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spelling paperaa:paper_0022247X_v387_n2_p568_Carando2023-06-12T16:44:12Z Natural symmetric tensor norms J. Math. Anal. Appl. 2012;387(2):568-581 Carando, D. Galicer, D. Banach algebras Natural tensor norms Polynomials in Banach spaces Symmetric tensor products In the spirit of the work of Grothendieck, we introduce and study natural symmetric n-fold tensor norms. These are norms obtained from the projective norm by some natural operations. We prove that there are exactly six natural symmetric tensor norms for n≥ 3, a noteworthy difference with the 2-fold case in which there are four. We also describe the polynomial ideals associated to these natural symmetric tensor norms. Using a symmetric version of a result of Carne, we establish which natural symmetric tensor norms preserve the Banach algebra structure. © 2011 Elsevier Inc. Fil:Carando, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Galicer, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0022247X_v387_n2_p568_Carando
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic Banach algebras
Natural tensor norms
Polynomials in Banach spaces
Symmetric tensor products
spellingShingle Banach algebras
Natural tensor norms
Polynomials in Banach spaces
Symmetric tensor products
Carando, D.
Galicer, D.
Natural symmetric tensor norms
topic_facet Banach algebras
Natural tensor norms
Polynomials in Banach spaces
Symmetric tensor products
description In the spirit of the work of Grothendieck, we introduce and study natural symmetric n-fold tensor norms. These are norms obtained from the projective norm by some natural operations. We prove that there are exactly six natural symmetric tensor norms for n≥ 3, a noteworthy difference with the 2-fold case in which there are four. We also describe the polynomial ideals associated to these natural symmetric tensor norms. Using a symmetric version of a result of Carne, we establish which natural symmetric tensor norms preserve the Banach algebra structure. © 2011 Elsevier Inc.
format Artículo
Artículo
publishedVersion
author Carando, D.
Galicer, D.
author_facet Carando, D.
Galicer, D.
author_sort Carando, D.
title Natural symmetric tensor norms
title_short Natural symmetric tensor norms
title_full Natural symmetric tensor norms
title_fullStr Natural symmetric tensor norms
title_full_unstemmed Natural symmetric tensor norms
title_sort natural symmetric tensor norms
publishDate 2012
url http://hdl.handle.net/20.500.12110/paper_0022247X_v387_n2_p568_Carando
work_keys_str_mv AT carandod naturalsymmetrictensornorms
AT galicerd naturalsymmetrictensornorms
_version_ 1769810322811518976

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