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Abstract:

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.

Registro:

Documento: Artículo
Título:Natural symmetric tensor norms
Autor:Carando, D.; Galicer, D.
Filiación:Departamento de Matemática - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina
IMAS - CONICET, Argentina
Palabras clave:Banach algebras; Natural tensor norms; Polynomials in Banach spaces; Symmetric tensor products
Año:2012
Volumen:387
Número:2
Página de inicio:568
Página de fin:581
DOI: http://dx.doi.org/10.1016/j.jmaa.2011.09.027
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0022247X_v387_n2_p568_Carando.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v387_n2_p568_Carando

Referencias:

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Citas:

---------- APA ----------
Carando, D. & Galicer, D. (2012) . Natural symmetric tensor norms. Journal of Mathematical Analysis and Applications, 387(2), 568-581.
http://dx.doi.org/10.1016/j.jmaa.2011.09.027
---------- CHICAGO ----------
Carando, D., Galicer, D. "Natural symmetric tensor norms" . Journal of Mathematical Analysis and Applications 387, no. 2 (2012) : 568-581.
http://dx.doi.org/10.1016/j.jmaa.2011.09.027
---------- MLA ----------
Carando, D., Galicer, D. "Natural symmetric tensor norms" . Journal of Mathematical Analysis and Applications, vol. 387, no. 2, 2012, pp. 568-581.
http://dx.doi.org/10.1016/j.jmaa.2011.09.027
---------- VANCOUVER ----------
Carando, D., Galicer, D. Natural symmetric tensor norms. J. Math. Anal. Appl. 2012;387(2):568-581.
http://dx.doi.org/10.1016/j.jmaa.2011.09.027