Ideals of multilinear forms - A limit order approach

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, D., Dimant, V., Sevilla-Peris, P.
Formato:	JOUR
Materias:	Ideals of multilinear mappings Limit orders Sequence spaces
Acceso en línea:	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	todo:paper_13851292_v11_n4_p589_Carando
record_format	dspace
spelling	todo:paper_13851292_v11_n4_p589_Carando2023-10-03T16:12:09Z Ideals of multilinear forms - A limit order approach Carando, D. Dimant, V. Sevilla-Peris, P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, D. Dimant, V. Sevilla-Peris, P. 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.
format	JOUR
author	Carando, D. Dimant, V. Sevilla-Peris, P.
author_facet	Carando, D. Dimant, V. Sevilla-Peris, P.
author_sort	Carando, D.
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
url	http://hdl.handle.net/20.500.12110/paper_13851292_v11_n4_p589_Carando
work_keys_str_mv	AT carandod idealsofmultilinearformsalimitorderapproach AT dimantv idealsofmultilinearformsalimitorderapproach AT sevillaperisp idealsofmultilinearformsalimitorderapproach
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Ideals of multilinear forms - A limit order approach

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