Natural symmetric tensor norms
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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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0022247X_v387_n2_p568_Carando http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v387_n2_p568_Carando_oai |
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I28-R145-paper_0022247X_v387_n2_p568_Carando_oai2020-10-19 Carando, D. Galicer, D. 2012 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. application/pdf http://hdl.handle.net/20.500.12110/paper_0022247X_v387_n2_p568_Carando info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Math. Anal. Appl. 2012;387(2):568-581 Banach algebras Natural tensor norms Polynomials in Banach spaces Symmetric tensor products Natural symmetric tensor norms info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v387_n2_p568_Carando_oai |
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Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-145 |
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Repositorio Digital de la Universidad de Buenos Aires (UBA) |
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 http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v387_n2_p568_Carando_oai |
work_keys_str_mv |
AT carandod naturalsymmetrictensornorms AT galicerd naturalsymmetrictensornorms |
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1766026594059550720 |