Strongly Lipschitz (ℓp ,ℓq)-factorable mappings
In this paper we study the space of strongly Lipschitz (ℓp ,ℓq) -factorable operators between metric spaces and a Banach spaces. In particular, a factorization of this class through ℓp and ℓq spaces is given. We show that this type of operators fits in the theory of composition α-Banach Lipschitz op...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2024-04-01
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| Series: | Applied General Topology |
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| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/18928 |
| _version_ | 1827289089571815424 |
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| author | Dahmane Achour Toufik Tiaiba |
| author_facet | Dahmane Achour Toufik Tiaiba |
| author_sort | Dahmane Achour |
| collection | DOAJ |
| description | In this paper we study the space of strongly Lipschitz (ℓp ,ℓq) -factorable operators between metric spaces and a Banach spaces. In particular, a factorization of this class through ℓp and ℓq spaces is given. We show that this type of operators fits in the theory of composition α-Banach Lipschitz operator ideal. As a special case, we get a Lipschitz version of weakly p-nuclear operators. |
| first_indexed | 2024-04-24T11:43:45Z |
| format | Article |
| id | doaj.art-71847d6e1fb0408c9094954d3464899c |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-04-24T11:43:45Z |
| publishDate | 2024-04-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-71847d6e1fb0408c9094954d3464899c2024-04-09T12:09:01ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472024-04-0125123725110.4995/agt.2024.1892818118Strongly Lipschitz (ℓp ,ℓq)-factorable mappingsDahmane Achour0https://orcid.org/0000-0003-0916-862XToufik Tiaiba1https://orcid.org/0009-0004-0040-5224Université de M'SilaUniversité de M'SilaIn this paper we study the space of strongly Lipschitz (ℓp ,ℓq) -factorable operators between metric spaces and a Banach spaces. In particular, a factorization of this class through ℓp and ℓq spaces is given. We show that this type of operators fits in the theory of composition α-Banach Lipschitz operator ideal. As a special case, we get a Lipschitz version of weakly p-nuclear operators.https://polipapers.upv.es/index.php/AGT/article/view/18928(p,q)-operators(ℓp ,ℓq)-factorable operatorsquasi (ℓp ,ℓq)-factorable operatorsℓp-factorable operatorsstrongly lipschitz (ℓp ,ℓq)-factorable operators |
| spellingShingle | Dahmane Achour Toufik Tiaiba Strongly Lipschitz (ℓp ,ℓq)-factorable mappings Applied General Topology (p,q)-operators (ℓp ,ℓq)-factorable operators quasi (ℓp ,ℓq)-factorable operators ℓp-factorable operators strongly lipschitz (ℓp ,ℓq)-factorable operators |
| title | Strongly Lipschitz (ℓp ,ℓq)-factorable mappings |
| title_full | Strongly Lipschitz (ℓp ,ℓq)-factorable mappings |
| title_fullStr | Strongly Lipschitz (ℓp ,ℓq)-factorable mappings |
| title_full_unstemmed | Strongly Lipschitz (ℓp ,ℓq)-factorable mappings |
| title_short | Strongly Lipschitz (ℓp ,ℓq)-factorable mappings |
| title_sort | strongly lipschitz lp lq factorable mappings |
| topic | (p,q)-operators (ℓp ,ℓq)-factorable operators quasi (ℓp ,ℓq)-factorable operators ℓp-factorable operators strongly lipschitz (ℓp ,ℓq)-factorable operators |
| url | https://polipapers.upv.es/index.php/AGT/article/view/18928 |
| work_keys_str_mv | AT dahmaneachour stronglylipschitzlplqfactorablemappings AT toufiktiaiba stronglylipschitzlplqfactorablemappings |