Artículo
Galicer, D.; Villafañe, R. "Coincidence of extendible vector-valued ideals with their minimal kernel" (2014) Journal of Mathematical Analysis and Applications
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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. All rights reserved.
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, C1428EGA Buenos Aires, Argentina IMAS-CONICET, Argentina |
| Palabras clave: | Metric theory of tensor products; Multilinear mappings; Polynomial ideals; Radon-Nikodým property |
| Año: | 2014 |
| 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_v_n_p_Galicer |
Citas:
---------- APA ----------
Galicer, D. & Villafañe, R. (2014) . Coincidence of extendible vector-valued ideals with their minimal kernel. Journal of Mathematical Analysis and Applications.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 (2014).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, 2014.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. 2014.http://dx.doi.org/10.1016/j.jmaa.2014.07.023
