{"title":"Strongly Lipschitz (ℓp ,ℓq)-factorable mappings","authors":"Dahmane Achour, T. Tiaiba","doi":"10.4995/agt.2024.18928","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":0,"journal":{"name":"","volume":"101 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4995/agt.2024.18928","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
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.
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