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 |
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todo:paper_0022247X_v387_n2_p568_Carando2023-10-03T14:29:17Z Natural symmetric tensor norms 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. JOUR 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 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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 |
JOUR |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_0022247X_v387_n2_p568_Carando |
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AT carandod naturalsymmetrictensornorms AT galicerd naturalsymmetrictensornorms |
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1807316828897148928 |