Diagonal extendible multilinear operators between ℓp-spaces

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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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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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