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Abstract:

We study the extendibility of integral vector-valued polynomials on Banach spaces. We prove that an X-valued Pietsch-integral polynomial on E extends to an X-valued Pietsch-integral polynomial on any space F containing E, with the same integral norm. This is not the case for Grothendieck-integral polynomials: they do not always extend to X-valued Grothendieck-integral polynomials. However, they are extendible to X-valued polynomials. The Aron-Berner extension of an integral polynomial is also studied. A canonical integral representation is given for domains not containing ℓ1. © 2004 Elsevier Inc. All rights reserved.

Registro:

Documento: Artículo
Título:Extension of vector-valued integral polynomials
Autor:Carando, D.; Lassalle, S.
Filiación:Departamento de Matemática, Universidad de San Andrés, Vito Dumas 284, Victoria, Buenos Aires, Argentina
Departamento de Matemática - Pab I, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Palabras clave:Extendibility; Integral polynomials
Año:2005
Volumen:307
Número:1
Página de inicio:77
Página de fin:85
DOI: http://dx.doi.org/10.1016/j.jmaa.2004.10.020
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_v307_n1_p77_Carando.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v307_n1_p77_Carando

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Citas:

---------- APA ----------
Carando, D. & Lassalle, S. (2005) . Extension of vector-valued integral polynomials. Journal of Mathematical Analysis and Applications, 307(1), 77-85.
http://dx.doi.org/10.1016/j.jmaa.2004.10.020
---------- CHICAGO ----------
Carando, D., Lassalle, S. "Extension of vector-valued integral polynomials" . Journal of Mathematical Analysis and Applications 307, no. 1 (2005) : 77-85.
http://dx.doi.org/10.1016/j.jmaa.2004.10.020
---------- MLA ----------
Carando, D., Lassalle, S. "Extension of vector-valued integral polynomials" . Journal of Mathematical Analysis and Applications, vol. 307, no. 1, 2005, pp. 77-85.
http://dx.doi.org/10.1016/j.jmaa.2004.10.020
---------- VANCOUVER ----------
Carando, D., Lassalle, S. Extension of vector-valued integral polynomials. J. Math. Anal. Appl. 2005;307(1):77-85.
http://dx.doi.org/10.1016/j.jmaa.2004.10.020