Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals

We establish a relation between Lipschitz operator ideals and linear operator ideals, which fits in the framework of Galois connection between lattices. We use this relationship to give a criterion which allows us to recognize when a Banach Lipschitz operator ideal is of composition type or not. Als...

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Detalles Bibliográficos
Autores principales: Turco, P., Villafañe, R.
Formato: INPR
Materias:
Banach operator ideals
Galois connection
Lipschitz operator ideals
Minimal operator ideals
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00221236_v_n_p_Turco
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00221236_v_n_p_Turco
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spelling todo:paper_00221236_v_n_p_Turco2023-10-03T14:27:19Z Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals Turco, P. Villafañe, R. Banach operator ideals Galois connection Lipschitz operator ideals Minimal operator ideals We establish a relation between Lipschitz operator ideals and linear operator ideals, which fits in the framework of Galois connection between lattices. We use this relationship to give a criterion which allows us to recognize when a Banach Lipschitz operator ideal is of composition type or not. Also, we introduce the concept of minimal Banach Lipschitz operator ideal, which have analogous properties to minimal Banach operator ideals. We characterize minimal Banach Lipschitz operator ideals which are of composition type and present examples which are not of this class. © 2018 Elsevier Inc. INPR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00221236_v_n_p_Turco
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Banach operator ideals
Galois connection
Lipschitz operator ideals
Minimal operator ideals
spellingShingle Banach operator ideals
Galois connection
Lipschitz operator ideals
Minimal operator ideals
Turco, P.
Villafañe, R.
Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals
topic_facet Banach operator ideals
Galois connection
Lipschitz operator ideals
Minimal operator ideals
description We establish a relation between Lipschitz operator ideals and linear operator ideals, which fits in the framework of Galois connection between lattices. We use this relationship to give a criterion which allows us to recognize when a Banach Lipschitz operator ideal is of composition type or not. Also, we introduce the concept of minimal Banach Lipschitz operator ideal, which have analogous properties to minimal Banach operator ideals. We characterize minimal Banach Lipschitz operator ideals which are of composition type and present examples which are not of this class. © 2018 Elsevier Inc.
format INPR
author Turco, P.
Villafañe, R.
author_facet Turco, P.
Villafañe, R.
author_sort Turco, P.
title Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals
title_short Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals
title_full Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals
title_fullStr Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals
title_full_unstemmed Galois connection between Lipschitz and linear operator ideals and minimal Lipschitz operator ideals
title_sort galois connection between lipschitz and linear operator ideals and minimal lipschitz operator ideals
url http://hdl.handle.net/20.500.12110/paper_00221236_v_n_p_Turco
work_keys_str_mv AT turcop galoisconnectionbetweenlipschitzandlinearoperatoridealsandminimallipschitzoperatorideals
AT villafaner galoisconnectionbetweenlipschitzandlinearoperatoridealsandminimallipschitzoperatorideals
_version_ 1807322925672431616

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