Lipschitz p-compact mappings

We introduce the notion of Lipschitz p-compact operators. We show that they can be seen as a natural extension of the linear p-compact operators of Sinha and Karn and we transfer some properties of the linear case into the Lipschitz setting. Also, we introduce the notions of Lipschitz-free p-compact...

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Autores principales: Achour, D., Dahia, E., Turco, P.
Formato: INPR
Materias:
Lipschitz operators
Lipschitz p-compact operators
Lipschitz-free p-compact mappings
Locally p-compact mappings
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00269255_v_n_p_Achour
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00269255_v_n_p_Achour
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spelling todo:paper_00269255_v_n_p_Achour2023-10-03T14:37:24Z Lipschitz p-compact mappings Achour, D. Dahia, E. Turco, P. Lipschitz operators Lipschitz p-compact operators Lipschitz-free p-compact mappings Locally p-compact mappings We introduce the notion of Lipschitz p-compact operators. We show that they can be seen as a natural extension of the linear p-compact operators of Sinha and Karn and we transfer some properties of the linear case into the Lipschitz setting. Also, we introduce the notions of Lipschitz-free p-compact operators and Lipschitz locally p-compact operators. We compare all these three notions and show different properties. Finally, we exhibit examples to show that these three notions are different. © 2019, Springer-Verlag GmbH Austria, part of Springer Nature. INPR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00269255_v_n_p_Achour
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Lipschitz operators
Lipschitz p-compact operators
Lipschitz-free p-compact mappings
Locally p-compact mappings
spellingShingle Lipschitz operators
Lipschitz p-compact operators
Lipschitz-free p-compact mappings
Locally p-compact mappings
Achour, D.
Dahia, E.
Turco, P.
Lipschitz p-compact mappings
topic_facet Lipschitz operators
Lipschitz p-compact operators
Lipschitz-free p-compact mappings
Locally p-compact mappings
description We introduce the notion of Lipschitz p-compact operators. We show that they can be seen as a natural extension of the linear p-compact operators of Sinha and Karn and we transfer some properties of the linear case into the Lipschitz setting. Also, we introduce the notions of Lipschitz-free p-compact operators and Lipschitz locally p-compact operators. We compare all these three notions and show different properties. Finally, we exhibit examples to show that these three notions are different. © 2019, Springer-Verlag GmbH Austria, part of Springer Nature.
format INPR
author Achour, D.
Dahia, E.
Turco, P.
author_facet Achour, D.
Dahia, E.
Turco, P.
author_sort Achour, D.
title Lipschitz p-compact mappings
title_short Lipschitz p-compact mappings
title_full Lipschitz p-compact mappings
title_fullStr Lipschitz p-compact mappings
title_full_unstemmed Lipschitz p-compact mappings
title_sort lipschitz p-compact mappings
url http://hdl.handle.net/20.500.12110/paper_00269255_v_n_p_Achour
work_keys_str_mv AT achourd lipschitzpcompactmappings
AT dahiae lipschitzpcompactmappings
AT turcop lipschitzpcompactmappings
_version_ 1807319226129580032

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