Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

This article deals with the relationship between an operator ideal and its natural polynomial extensions. We define the concept of coherent sequence of polynomial ideals and also the notion of compatibility between polynomial and operator ideals. We study the stability of these properties for maximal and minimal hulls, adjoint and composition ideals. We also relate these concepts with conditions on the underlying tensor norms. © 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Registro:

Documento: Artículo
Título:Coherent sequences of polynomial ideals on Banach spaces
Autor:Carando, D.; Dimant, V.; Muro, S.
Filiación:Departamento de Matemática - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, (C1428EGA) Buenos Aires, and Conicet, Argentina
Departamento de Matemática, Universidad de San Andrés, Vito Dumas 284, (B1644BID) Victoria, Buenos Aires, and Conicet, Argentina
Palabras clave:Operator ideals; Polynomial ideals; Tensor norms
Año:2009
Volumen:282
Número:8
Página de inicio:1111
Página de fin:1133
DOI: http://dx.doi.org/10.1002/mana.200610791
Título revista:Mathematische Nachrichten
Título revista abreviado:Math. Nachr.
ISSN:0025584X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v282_n8_p1111_Carando

Referencias:

  • Aron, R.M., Schottenloher, M., Compact holomorphic mappings on Banach spaces and the approximation property (1976) J. Funct. Anal., 21, pp. 7-30
  • Botelho, G., Braunss, H.-A., Junek, H., Pellegrino, D.M., Holomorphy types and ideals of multilinear mappings (2006) Studia Math, 177 (1), pp. 43-65
  • Botelho, G., Pellegrino, D.M., Two new properties of ideals of polynomials and applications (2005) Indag. Math., New Ser., 16 (2), pp. 157-169
  • Braunss, H., Multi-ideals with Special Properties (1987), Blatter Potsdamer Forschungen Bd. 1/87 (Universität Potsdam, Germany); Carando, D., Dimant, V., Sevilla-Peris, P., Ideals of multilinear forms - A limit order approach (2007) Positivity, 11, pp. 589-607
  • Carando, D., Lassalle, S., Extension of vector-valued integral polynomials (2005) J. Math. Anal. Appl., 307 (1), pp. 77-85
  • Defant, A., Floret, K., Tensor Norms and Operator Ideals (1993), North-Holland Publishing Co., Amsterdam; Dimant, V., Strongly p-summing multilinear operators (2003) J. Math. Anal. Appl., 278 (1), pp. 182-193
  • Dineen, S., Holomorphy types on a Banach space (1971) Studia Math, 39, pp. 241-288
  • Dineen, S., Complex Analysis on Infinite-dimensional Spaces. Springer Monographs in Mathematics (1999), Springer-Verlag London, Ltd., London; Floret, K., Natural norms on symmetric tensor products of normed spaces (1999) Note Mat, 17, pp. 153-188
  • Floret, K., Minimal ideals of n-homogeneous polynomials on Banach spaces (2001) Results Math, 39 (3-4), pp. 201-217
  • Floret, K., On ideals of n-homogeneous polynomials on Banach spaces (2002) Proceedings of the Fest-colloquium in Honor of Professor, pp. 19-38. , A. Mallios, Athens 2002 (University of Athens, Greece)
  • Floret, K., García, D., On ideals of polynomials and multilinear mappings between Banach spaces (2003) Arch. Math. (Basel), 81 (3), pp. 300-308
  • Floret, K., Hunfeld, S., Ultrastability of ideals of homogeneous polynomials and multilinear mappings on Banach spaces (2002) Proc. Amer. Math. Soc., 130 (5), pp. 1425-1435
  • Harris, L.A., A Bernstein-Markov theorem for normed spaces (1997) J. Math. Anal. Appl., 208 (2), pp. 476-486
  • Mujica, J., Complex Analysis in Banach Spaces (1986) Mathematics Studies, 120. , (orth-Holland, Amsterdam)
  • Nachbin, L., (1969) Topology on Spaces of Holomorphic Mappings, , (Springer-Verlag, New York)
  • Pietsch, A., Ideals of multilinear functionals (designs of a theory), in: Proceedings of the Second International Conference on Operator Algebras, Ideals, and their Applications in Theoretical Physics, Leipzig, 1983 (1984) Teubner-Texte in Mathematics, 67, pp. 185-199. , (Teubner, Leipzig )
  • Ryan, R.A., Introduction to Tensor Products of Banach Spaces (2002) Springer Monographs in Mathematics, , (Springer-Verlag London, Ltd., London)
  • Schneider, B., On absolutely p-summing and related multilinear mappings (1991) Wissenschaftliche Zeitschrift der Branden-burger Landeshochschule, 35, pp. 105-117
  • Villanueva, I., Integral mappings between Banach spaces (2003) J. Math. Anal. Appl., 279 (1), pp. 56-70

Citas:

---------- APA ----------
Carando, D., Dimant, V. & Muro, S. (2009) . Coherent sequences of polynomial ideals on Banach spaces. Mathematische Nachrichten, 282(8), 1111-1133.
http://dx.doi.org/10.1002/mana.200610791
---------- CHICAGO ----------
Carando, D., Dimant, V., Muro, S. "Coherent sequences of polynomial ideals on Banach spaces" . Mathematische Nachrichten 282, no. 8 (2009) : 1111-1133.
http://dx.doi.org/10.1002/mana.200610791
---------- MLA ----------
Carando, D., Dimant, V., Muro, S. "Coherent sequences of polynomial ideals on Banach spaces" . Mathematische Nachrichten, vol. 282, no. 8, 2009, pp. 1111-1133.
http://dx.doi.org/10.1002/mana.200610791
---------- VANCOUVER ----------
Carando, D., Dimant, V., Muro, S. Coherent sequences of polynomial ideals on Banach spaces. Math. Nachr. 2009;282(8):1111-1133.
http://dx.doi.org/10.1002/mana.200610791