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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Carando, Daniel German, Galicer, Daniel Eric
Publicado: 2012
Materias:
Banach algebras
Natural tensor norms
Polynomials in Banach spaces
Symmetric tensor products
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v387_n2_p568_Carando
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 paper:paper_0022247X_v387_n2_p568_Carando
record_format dspace
spelling paper:paper_0022247X_v387_n2_p568_Carando2023-06-08T14:47:55Z Natural symmetric tensor norms Carando, Daniel German Galicer, Daniel Eric 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v387_n2_p568_Carando 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)
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, Daniel German
Galicer, Daniel Eric
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.
author Carando, Daniel German
Galicer, Daniel Eric
author_facet Carando, Daniel German
Galicer, Daniel Eric
author_sort Carando, Daniel German
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v387_n2_p568_Carando
http://hdl.handle.net/20.500.12110/paper_0022247X_v387_n2_p568_Carando
work_keys_str_mv AT carandodanielgerman naturalsymmetrictensornorms
AT galicerdanieleric naturalsymmetrictensornorms
_version_ 1768542678009511936

Ejemplares similares