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Abstract:

We provide coincidence results for vector-valued ideals of multilinear operators. More precisely, if A is an ideal of n-linear mappings we give conditions for which the equality A(E1,. . .,En;F)=Amin(E1,. . .,En;F) holds isometrically. As an application, we obtain in many cases that the monomials form a Schauder basis of the space A(E1,. . .,En;F). Several structural and geometric properties are also derived using this equality. We apply our results to the particular case where A is the classical ideal of extendible or Pietsch-integral multilinear operators. Similar statements are given for ideals of vector-valued homogeneous polynomials. © 2014 Elsevier Inc.

Registro:

Documento: Artículo
Título:Coincidence of extendible vector-valued ideals with their minimal kernel
Autor:Galicer, D.; Villafañe, R.
Filiación:Departamento de Matemática - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, C1428EGA, Argentina
IMAS-CONICET, Argentina
Palabras clave:Metric theory of tensor products; Multilinear mappings; Polynomial ideals; Radon-Nikodým property
Año:2015
Volumen:421
Número:2
Página de inicio:1743
Página de fin:1766
DOI: http://dx.doi.org/10.1016/j.jmaa.2014.07.023
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_v421_n2_p1743_Galicer

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Citas:

---------- APA ----------
Galicer, D. & Villafañe, R. (2015) . Coincidence of extendible vector-valued ideals with their minimal kernel. Journal of Mathematical Analysis and Applications, 421(2), 1743-1766.
http://dx.doi.org/10.1016/j.jmaa.2014.07.023
---------- CHICAGO ----------
Galicer, D., Villafañe, R. "Coincidence of extendible vector-valued ideals with their minimal kernel" . Journal of Mathematical Analysis and Applications 421, no. 2 (2015) : 1743-1766.
http://dx.doi.org/10.1016/j.jmaa.2014.07.023
---------- MLA ----------
Galicer, D., Villafañe, R. "Coincidence of extendible vector-valued ideals with their minimal kernel" . Journal of Mathematical Analysis and Applications, vol. 421, no. 2, 2015, pp. 1743-1766.
http://dx.doi.org/10.1016/j.jmaa.2014.07.023
---------- VANCOUVER ----------
Galicer, D., Villafañe, R. Coincidence of extendible vector-valued ideals with their minimal kernel. J. Math. Anal. Appl. 2015;421(2):1743-1766.
http://dx.doi.org/10.1016/j.jmaa.2014.07.023