On the norm of products of polynomials on ultraproducts of Banach spaces
The purpose of this article is to study the problem of finding sharp lower bounds for the norm of the product of polynomials in the ultraproducts of Banach spaces [Formula: see text]. We show that, under certain hypotheses, there is a strong relation between this problem and the same problem for the...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
Academic Press Inc.
2014
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 03758caa a22004817a 4500 | ||
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| 001 | PAPER-14028 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518204429.0 | ||
| 008 | 190411s2014 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84955648003 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Rodríguez, J.T. | |
| 245 | 1 | 3 | |a On the norm of products of polynomials on ultraproducts of Banach spaces |
| 260 | |b Academic Press Inc. |c 2014 | ||
| 270 | 1 | 0 | |m Rodríguez, J.T.; Departamento de Matemática - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos AiresArgentina; email: jtrodrig@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Arias-de-Reyna, R.M.J., Gaussian variables, polynomials and permanents (1998) Linear Algebra Appl, 285, pp. 107-114 | ||
| 504 | |a Aron, R.M., Berner, P.D., A Hahn-Banach extension theorem for analytic mapping (1978) Bull. Soc. Math. France, 106, pp. 3-24 | ||
| 504 | |a Benítez, C., Sarantopoulos, Y., Tonge, A., Lower bounds for norms of products of polynomials (1998) Math. Proc. Cambridge Philos. Soc, 124, pp. 395-408 | ||
| 504 | |a Carando, D., Pinasco y, D., Rodríguez, J.T., Lower bounds for norms of products of polynomials on Lpspaces (2013) Studia Math, 214, pp. 157-166 | ||
| 504 | |a Davie, A.M., Gamelin, T.W., A theorem on polynomial-star approximation (1989) Proc. Amer. Math. Soc, 106, pp. 351-356 | ||
| 504 | |a Dean, D.W., The equation L(E, X**) =L(E, X)** and the principle of local reflexivity (1973) Proc. Amer. Math. Soc, 40, pp. 146-148 | ||
| 504 | |a Heinrich, S., Ultraproducts in Banach space theory (1980) J. Reine Angew. Math, 313, pp. 72-104 | ||
| 504 | |a Lindström, M., Ryan, R.A., Applications of ultraproducts to infinite dimensional holomorphy (1992) Math. Scand, 71, pp. 229-242 | ||
| 504 | |a Pelłczyński, A., Rosenthal, H., Localization techniques in Lpspaces (1975) Studia Math, 52, pp. 265-289 | ||
| 504 | |a Pinasco, D., Lower bounds for norms of products of polynomials via Bombieri inequality (2012) Trans. Amer. Math. Soc, 364, pp. 3993-4010 | ||
| 504 | |a Zalduendo, I., Extending polynomials on Banach spaces-a survey (2005) Rev. Un. Mat. Argentina, 46, pp. 45-72 | ||
| 520 | 3 | |a The purpose of this article is to study the problem of finding sharp lower bounds for the norm of the product of polynomials in the ultraproducts of Banach spaces [Formula: see text]. We show that, under certain hypotheses, there is a strong relation between this problem and the same problem for the spaces Xi. © 2015 Elsevier Inc. All rights reserved. |l eng | |
| 593 | |a Departamento de Matemática - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina | ||
| 593 | |a IMAS-CONICET, Argentina | ||
| 690 | 1 | 0 | |a BANACH SPACES |
| 690 | 1 | 0 | |a NORM INEQUALITIES |
| 690 | 1 | 0 | |a POLYNOMIALS |
| 690 | 1 | 0 | |a ULTRAPRODUCTS |
| 773 | 0 | |d Academic Press Inc., 2014 |g v. 427 |h pp. 805-816 |k n. 2 |p J. Math. Anal. Appl. |x 0022247X |w (AR-BaUEN)CENRE-271 |t Journal of Mathematical Analysis and Applications | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-84955648003&doi=10.1016%2fj.jmaa.2015.02.054&partnerID=40&md5=4a5a8ec417e345743d975b4e16ca5cd7 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.jmaa.2015.02.054 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_0022247X_v427_n2_p805_Rodriguez |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v427_n2_p805_Rodriguez |y Registro en la Biblioteca Digital |
| 961 | |a paper_0022247X_v427_n2_p805_Rodriguez |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 963 | |a VARI | ||
| 999 | |c 74981 | ||