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
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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
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Palabras clave: | Extendibility; Integral polynomials |
Año: | 2005
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Volumen: | 307
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Número: | 1
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Página de inicio: | 77
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Página de fin: | 85
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DOI: |
http://dx.doi.org/10.1016/j.jmaa.2004.10.020 |
Título revista: | Journal of Mathematical Analysis and Applications
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Título revista abreviado: | J. Math. Anal. Appl.
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ISSN: | 0022247X
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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