Strongly Lipschitz (ℓp ,ℓq)-factorable mappings

Dahmane Achour; Toufik Tiaiba

doi:10.4995/agt.2024.18928

Authors

Dahmane Achour Université de M'Sila https://orcid.org/0000-0003-0916-862X
Toufik Tiaiba Université de M'Sila https://orcid.org/0009-0004-0040-5224

DOI:

https://doi.org/10.4995/agt.2024.18928

Keywords:

(p,q)-operators, (ℓp ,ℓq)-factorable operators, quasi (ℓp ,ℓq)-factorable operators, ℓp-factorable operators, strongly Lipschitz (ℓp ,ℓq)-factorable operators

Abstract

In this paper we study the space of strongly Lipschitz (ℓ_p ,ℓ_q) -factorable operators between metric spaces and a Banach spaces. In particular, a factorization of this class through ℓ_p and ℓ_q 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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References

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