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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Publicado: 2019
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00269255_v_n_p_Achour
http://hdl.handle.net/20.500.12110/paper_00269255_v_n_p_Achour
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spelling paper:paper_00269255_v_n_p_Achour2023-06-08T14:54:05Z Lipschitz p-compact mappings 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. 2019 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00269255_v_n_p_Achour 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
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.
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
publishDate 2019
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00269255_v_n_p_Achour
http://hdl.handle.net/20.500.12110/paper_00269255_v_n_p_Achour
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