Ideals of multilinear forms - A limit order approach

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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...

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Autores principales: Carando, Daniel German, Dimant, Verónica
Publicado: 2007
Materias:
Ideals of multilinear mappings
Limit orders
Sequence spaces
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13851292_v11_n4_p589_Carando
http://hdl.handle.net/20.500.12110/paper_13851292_v11_n4_p589_Carando
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_13851292_v11_n4_p589_Carando
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spelling paper:paper_13851292_v11_n4_p589_Carando2023-06-08T16:12:41Z Ideals of multilinear forms - A limit order approach Carando, Daniel German Dimant, Verónica Ideals of multilinear mappings Limit orders Sequence spaces 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. Fil:Carando, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Dimant, V. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13851292_v11_n4_p589_Carando http://hdl.handle.net/20.500.12110/paper_13851292_v11_n4_p589_Carando
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Ideals of multilinear mappings
Limit orders
Sequence spaces
spellingShingle Ideals of multilinear mappings
Limit orders
Sequence spaces
Carando, Daniel German
Dimant, Verónica
Ideals of multilinear forms - A limit order approach
topic_facet Ideals of multilinear mappings
Limit orders
Sequence spaces
description 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.
author Carando, Daniel German
Dimant, Verónica
author_facet Carando, Daniel German
Dimant, Verónica
author_sort Carando, Daniel German
title Ideals of multilinear forms - A limit order approach
title_short Ideals of multilinear forms - A limit order approach
title_full Ideals of multilinear forms - A limit order approach
title_fullStr Ideals of multilinear forms - A limit order approach
title_full_unstemmed Ideals of multilinear forms - A limit order approach
title_sort ideals of multilinear forms - a limit order approach
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13851292_v11_n4_p589_Carando
http://hdl.handle.net/20.500.12110/paper_13851292_v11_n4_p589_Carando
work_keys_str_mv AT carandodanielgerman idealsofmultilinearformsalimitorderapproach
AT dimantveronica idealsofmultilinearformsalimitorderapproach
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