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Abstract:

A general theory of limit orders for ideals of multilinear forms is developed. We relate the limit order of an ideal to those of its maximal hull and its adjoint ideal. We study the limit orders of the ideals of dominated and multiple summing multilinear forms. Finally, estimates of the diagonal of a (non-necessarily diagonal) multilinear form are presented, in terms of the limit order of the ideals to which it belongs. © 2007 Birkhäuser Verlag, Basel.

Registro:

Documento: Artículo
Título:Ideals of multilinear forms - A limit order approach
Autor:Carando, D.; Dimant, V.; Sevilla-Peris, P.
Filiación:Departamento de Matemática, FCEyN, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Departamento de Matemática, Universidad de San Andrés, Vito Dumas 284 (B1644BID), Victoria Buenos Aires, Argentina
Departamento de Matemática Aplicada, IMPA, ETSMRE, Av. Blasco Ibáñez 21, 46010 Valencia, Spain
Palabras clave:Ideals of multilinear mappings; Limit orders; Sequence spaces
Año:2007
Volumen:11
Número:4
Página de inicio:589
Página de fin:607
DOI: http://dx.doi.org/10.1007/s11117-007-2084-8
Título revista:Positivity
Título revista abreviado:Positivity
ISSN:13851292
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13851292_v11_n4_p589_Carando

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Citas:

---------- APA ----------
Carando, D., Dimant, V. & Sevilla-Peris, P. (2007) . Ideals of multilinear forms - A limit order approach. Positivity, 11(4), 589-607.
http://dx.doi.org/10.1007/s11117-007-2084-8
---------- CHICAGO ----------
Carando, D., Dimant, V., Sevilla-Peris, P. "Ideals of multilinear forms - A limit order approach" . Positivity 11, no. 4 (2007) : 589-607.
http://dx.doi.org/10.1007/s11117-007-2084-8
---------- MLA ----------
Carando, D., Dimant, V., Sevilla-Peris, P. "Ideals of multilinear forms - A limit order approach" . Positivity, vol. 11, no. 4, 2007, pp. 589-607.
http://dx.doi.org/10.1007/s11117-007-2084-8
---------- VANCOUVER ----------
Carando, D., Dimant, V., Sevilla-Peris, P. Ideals of multilinear forms - A limit order approach. Positivity. 2007;11(4):589-607.
http://dx.doi.org/10.1007/s11117-007-2084-8