Diagonal multilinear operators on Köthe sequence spaces

We analyse the interplay between maximal/minimal/adjoint ideals of multilinear operators (between sequence spaces) and their associated Köthe sequence spaces. We establish relationships with spaces of multipliers and apply these results to describe diagonal multilinear operators from Lorentz sequenc...

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Detalles Bibliográficos
Autores principales: Dimant, V., Villafañe, R.
Formato: JOUR
Materias:
46A45
47H60
47L22
diagonal multilinear operators
Köthe sequence spaces
Multilinear ideals
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03081087_v67_n2_p248_Dimant
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03081087_v67_n2_p248_Dimant
record_format dspace
spelling todo:paper_03081087_v67_n2_p248_Dimant2023-10-03T15:22:46Z Diagonal multilinear operators on Köthe sequence spaces Dimant, V. Villafañe, R. 46A45 47H60 47L22 diagonal multilinear operators Köthe sequence spaces Multilinear ideals We analyse the interplay between maximal/minimal/adjoint ideals of multilinear operators (between sequence spaces) and their associated Köthe sequence spaces. We establish relationships with spaces of multipliers and apply these results to describe diagonal multilinear operators from Lorentz sequence spaces. We also define and study some properties of the ideal of (E, p)-summing multilinear mappings, a natural extension of the linear ideal of absolutely (E, p)-summing operators. © 2017, © 2017 Informa UK Limited, trading as Taylor & Francis Group. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03081087_v67_n2_p248_Dimant
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 46A45
47H60
47L22
diagonal multilinear operators
Köthe sequence spaces
Multilinear ideals
spellingShingle 46A45
47H60
47L22
diagonal multilinear operators
Köthe sequence spaces
Multilinear ideals
Dimant, V.
Villafañe, R.
Diagonal multilinear operators on Köthe sequence spaces
topic_facet 46A45
47H60
47L22
diagonal multilinear operators
Köthe sequence spaces
Multilinear ideals
description We analyse the interplay between maximal/minimal/adjoint ideals of multilinear operators (between sequence spaces) and their associated Köthe sequence spaces. We establish relationships with spaces of multipliers and apply these results to describe diagonal multilinear operators from Lorentz sequence spaces. We also define and study some properties of the ideal of (E, p)-summing multilinear mappings, a natural extension of the linear ideal of absolutely (E, p)-summing operators. © 2017, © 2017 Informa UK Limited, trading as Taylor & Francis Group.
format JOUR
author Dimant, V.
Villafañe, R.
author_facet Dimant, V.
Villafañe, R.
author_sort Dimant, V.
title Diagonal multilinear operators on Köthe sequence spaces
title_short Diagonal multilinear operators on Köthe sequence spaces
title_full Diagonal multilinear operators on Köthe sequence spaces
title_fullStr Diagonal multilinear operators on Köthe sequence spaces
title_full_unstemmed Diagonal multilinear operators on Köthe sequence spaces
title_sort diagonal multilinear operators on köthe sequence spaces
url http://hdl.handle.net/20.500.12110/paper_03081087_v67_n2_p248_Dimant
work_keys_str_mv AT dimantv diagonalmultilinearoperatorsonkothesequencespaces
AT villafaner diagonalmultilinearoperatorsonkothesequencespaces
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