Coherent sequences of polynomial ideals on Banach spaces
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 maxima...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2009
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 05696caa a22005777a 4500 | ||
|---|---|---|---|
| 001 | PAPER-8594 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203824.0 | ||
| 008 | 190411s2009 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-76649125212 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Carando, D. | |
| 245 | 1 | 0 | |a Coherent sequences of polynomial ideals on Banach spaces |
| 260 | |c 2009 | ||
| 270 | 1 | 0 | |m Carando, D.; Departamento de Matemática - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, (C1428EGA) Buenos Aires, and Conicet, Argentina; email: dcarando@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Aron, R.M., Schottenloher, M., Compact holomorphic mappings on Banach spaces and the approximation property (1976) J. Funct. Anal., 21, pp. 7-30 | ||
| 504 | |a 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 | ||
| 504 | |a Botelho, G., Pellegrino, D.M., Two new properties of ideals of polynomials and applications (2005) Indag. Math., New Ser., 16 (2), pp. 157-169 | ||
| 504 | |a 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 | ||
| 504 | |a Carando, D., Lassalle, S., Extension of vector-valued integral polynomials (2005) J. Math. Anal. Appl., 307 (1), pp. 77-85 | ||
| 504 | |a 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 | ||
| 504 | |a Dineen, S., Holomorphy types on a Banach space (1971) Studia Math, 39, pp. 241-288 | ||
| 504 | |a 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 | ||
| 504 | |a Floret, K., Minimal ideals of n-homogeneous polynomials on Banach spaces (2001) Results Math, 39 (3-4), pp. 201-217 | ||
| 504 | |a 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) | ||
| 504 | |a Floret, K., García, D., On ideals of polynomials and multilinear mappings between Banach spaces (2003) Arch. Math. (Basel), 81 (3), pp. 300-308 | ||
| 504 | |a 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 | ||
| 504 | |a Harris, L.A., A Bernstein-Markov theorem for normed spaces (1997) J. Math. Anal. Appl., 208 (2), pp. 476-486 | ||
| 504 | |a Mujica, J., Complex Analysis in Banach Spaces (1986) Mathematics Studies, 120. , (orth-Holland, Amsterdam) | ||
| 504 | |a Nachbin, L., (1969) Topology on Spaces of Holomorphic Mappings, , (Springer-Verlag, New York) | ||
| 504 | |a 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 ) | ||
| 504 | |a Ryan, R.A., Introduction to Tensor Products of Banach Spaces (2002) Springer Monographs in Mathematics, , (Springer-Verlag London, Ltd., London) | ||
| 504 | |a Schneider, B., On absolutely p-summing and related multilinear mappings (1991) Wissenschaftliche Zeitschrift der Branden-burger Landeshochschule, 35, pp. 105-117 | ||
| 504 | |a Villanueva, I., Integral mappings between Banach spaces (2003) J. Math. Anal. Appl., 279 (1), pp. 56-70 | ||
| 520 | 3 | |a 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. |l eng | |
| 593 | |a Departamento de Matemática - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, (C1428EGA) Buenos Aires, and Conicet, Argentina | ||
| 593 | |a Departamento de Matemática, Universidad de San Andrés, Vito Dumas 284, (B1644BID) Victoria, Buenos Aires, and Conicet, Argentina | ||
| 690 | 1 | 0 | |a OPERATOR IDEALS |
| 690 | 1 | 0 | |a POLYNOMIAL IDEALS |
| 690 | 1 | 0 | |a TENSOR NORMS |
| 700 | 1 | |a Dimant, V. | |
| 700 | 1 | |a Muro, S. | |
| 773 | 0 | |d 2009 |g v. 282 |h pp. 1111-1133 |k n. 8 |p Math. Nachr. |x 0025584X |t Mathematische Nachrichten | |
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| 856 | 4 | 0 | |u https://doi.org/10.1002/mana.200610791 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_0025584X_v282_n8_p1111_Carando |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v282_n8_p1111_Carando |y Registro en la Biblioteca Digital |
| 961 | |a paper_0025584X_v282_n8_p1111_Carando |b paper |c PE | ||
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| 999 | |c 69547 | ||