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Carando, D.; Lassalle, S.; Mazzitelli, M. "A Lindenstrauss theorem for some classes of multilinear mappings" (2015) Journal of Mathematical Analysis and Applications. 427(1):248-262
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Abstract:

Under some natural hypotheses, we show that if a multilinear mapping belongs to some Banach multilinear ideal, then it can be approximated by multilinear mappings belonging to the same ideal all whose Arens extensions attain their norms at the same point. We prove a similar result for the class of symmetric multilinear mappings. We see that the quantitative (Bollobás-type) version of these results fails in every multilinear ideal. © 2014.

Registro:

Documento: Artículo
Título:A Lindenstrauss theorem for some classes of multilinear mappings
Autor:Carando, D.; Lassalle, S.; Mazzitelli, M.
Filiación:Departamento de Matemática - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
IMAS-CONICET, Argentina
Departamento de Matemática, Universidad de San Andrés, Vito Dumas 284, Buenos Aires, VIC B1644BID, Argentina
Palabras clave:Integral formula; Lindenstrauss-type theorems; Norm attaining multilinear mappings and polynomials
Año:2015
Volumen:427
Número:1
Página de inicio:248
Página de fin:262
DOI: http://dx.doi.org/10.1016/j.jmaa.2014.11.004
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v427_n1_p248_Carando

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Citas:

---------- APA ----------
Carando, D., Lassalle, S. & Mazzitelli, M. (2015) . A Lindenstrauss theorem for some classes of multilinear mappings. Journal of Mathematical Analysis and Applications, 427(1), 248-262.
http://dx.doi.org/10.1016/j.jmaa.2014.11.004
---------- CHICAGO ----------
Carando, D., Lassalle, S., Mazzitelli, M. "A Lindenstrauss theorem for some classes of multilinear mappings" . Journal of Mathematical Analysis and Applications 427, no. 1 (2015) : 248-262.
http://dx.doi.org/10.1016/j.jmaa.2014.11.004
---------- MLA ----------
Carando, D., Lassalle, S., Mazzitelli, M. "A Lindenstrauss theorem for some classes of multilinear mappings" . Journal of Mathematical Analysis and Applications, vol. 427, no. 1, 2015, pp. 248-262.
http://dx.doi.org/10.1016/j.jmaa.2014.11.004
---------- VANCOUVER ----------
Carando, D., Lassalle, S., Mazzitelli, M. A Lindenstrauss theorem for some classes of multilinear mappings. J. Math. Anal. Appl. 2015;427(1):248-262.
http://dx.doi.org/10.1016/j.jmaa.2014.11.004