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Abstract:

Under certain hypotheses on the Banach space X, we show that the set of N-homogeneous polynomials from X to any dual space, whose Aron-Berner extensions are norm attaining, is dense in the space of all continuous N-homogeneous polynomials. To this end we prove an integral formula for the duality between tensor products and polynomials. We also exhibit examples of Lorentz sequence spaces for which there is no polynomial Bishop-Phelps theorem, but our results apply. Finally we address quantitative versions, in the sense of Bollobás, of these results. © 2012 Elsevier Inc..

Registro:

Documento: Artículo
Título:On the polynomial lindenstrauss theorem
Autor:Carando, D.; Lassalle, S.; Mazzitelli, M.
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:Integral formula; Lindenstrauss type theorems; Norm attaining multilinear and polynomials mappings
Año:2012
Volumen:263
Número:7
Página de inicio:1809
Página de fin:1824
DOI: http://dx.doi.org/10.1016/j.jfa.2012.06.014
Título revista:Journal of Functional Analysis
Título revista abreviado:J. Funct. Anal.
ISSN:00221236
CODEN:JFUAA
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00221236_v263_n7_p1809_Carando.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v263_n7_p1809_Carando

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Citas:

---------- APA ----------
Carando, D., Lassalle, S. & Mazzitelli, M. (2012) . On the polynomial lindenstrauss theorem. Journal of Functional Analysis, 263(7), 1809-1824.
http://dx.doi.org/10.1016/j.jfa.2012.06.014
---------- CHICAGO ----------
Carando, D., Lassalle, S., Mazzitelli, M. "On the polynomial lindenstrauss theorem" . Journal of Functional Analysis 263, no. 7 (2012) : 1809-1824.
http://dx.doi.org/10.1016/j.jfa.2012.06.014
---------- MLA ----------
Carando, D., Lassalle, S., Mazzitelli, M. "On the polynomial lindenstrauss theorem" . Journal of Functional Analysis, vol. 263, no. 7, 2012, pp. 1809-1824.
http://dx.doi.org/10.1016/j.jfa.2012.06.014
---------- VANCOUVER ----------
Carando, D., Lassalle, S., Mazzitelli, M. On the polynomial lindenstrauss theorem. J. Funct. Anal. 2012;263(7):1809-1824.
http://dx.doi.org/10.1016/j.jfa.2012.06.014