Diagonal extendible multilinear operators between ℓp-spaces

We study extendibility of diagonal multilinear operators from ℓp to ℓq spaces.We determine the values of p and q for which every diagonal n-linear operator is extendible, and those for which the only extendible ones are integral. We address the same question for multilinear forms on ℓp. © 2013 Sprin...

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Detalles Bibliográficos
Autores principales:	Carando, D., Dimant, V., Sevilla-Peris, P., Villafañe, R.
Formato:	JOUR
Materias:	Extension of multilinear operators Multilinear mappings Sequence spaces
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_15787303_v108_n2_p541_Carando
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_15787303_v108_n2_p541_Carando
record_format	dspace
spelling	todo:paper_15787303_v108_n2_p541_Carando2023-10-03T16:27:38Z Diagonal extendible multilinear operators between ℓp-spaces Carando, D. Dimant, V. Sevilla-Peris, P. Villafañe, R. Extension of multilinear operators Multilinear mappings Sequence spaces We study extendibility of diagonal multilinear operators from ℓp to ℓq spaces.We determine the values of p and q for which every diagonal n-linear operator is extendible, and those for which the only extendible ones are integral. We address the same question for multilinear forms on ℓp. © 2013 Springer-Verlag Italia. 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_15787303_v108_n2_p541_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	Extension of multilinear operators Multilinear mappings Sequence spaces
spellingShingle	Extension of multilinear operators Multilinear mappings Sequence spaces Carando, D. Dimant, V. Sevilla-Peris, P. Villafañe, R. Diagonal extendible multilinear operators between ℓp-spaces
topic_facet	Extension of multilinear operators Multilinear mappings Sequence spaces
description	We study extendibility of diagonal multilinear operators from ℓp to ℓq spaces.We determine the values of p and q for which every diagonal n-linear operator is extendible, and those for which the only extendible ones are integral. We address the same question for multilinear forms on ℓp. © 2013 Springer-Verlag Italia.
format	JOUR
author	Carando, D. Dimant, V. Sevilla-Peris, P. Villafañe, R.
author_facet	Carando, D. Dimant, V. Sevilla-Peris, P. Villafañe, R.
author_sort	Carando, D.
title	Diagonal extendible multilinear operators between ℓp-spaces
title_short	Diagonal extendible multilinear operators between ℓp-spaces
title_full	Diagonal extendible multilinear operators between ℓp-spaces
title_fullStr	Diagonal extendible multilinear operators between ℓp-spaces
title_full_unstemmed	Diagonal extendible multilinear operators between ℓp-spaces
title_sort	diagonal extendible multilinear operators between ℓp-spaces
url	http://hdl.handle.net/20.500.12110/paper_15787303_v108_n2_p541_Carando
work_keys_str_mv	AT carandod diagonalextendiblemultilinearoperatorsbetweenlpspaces AT dimantv diagonalextendiblemultilinearoperatorsbetweenlpspaces AT sevillaperisp diagonalextendiblemultilinearoperatorsbetweenlpspaces AT villafaner diagonalextendiblemultilinearoperatorsbetweenlpspaces
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Diagonal extendible multilinear operators between ℓp-spaces

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