Strongly Lipschitz (ℓp ,ℓq)-factorable mappings

• Achour, Dahmane ^[1] ; Tiaiba, Toufik ^[1]
  1. [1] Université de M'Sila

     Université de M'Sila

     Argelia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 25, Nº. 1, 2024, págs. 237-251
• Idioma: inglés
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• Resumen

  • 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.