强 Lipschitz (ℓp ,ℓq) 因子映射

Pub Date : 2024-04-02 DOI:10.4995/agt.2024.18928

Dahmane Achour, T. Tiaiba

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引用次数: 0

摘要

本文研究了度量空间与巴拿赫空间之间的强 Lipschitz (ℓp ,ℓq) 因式算子空间，特别给出了该类算子通过 ℓp 和 ℓq 空间的因式分解。

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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 operator ideal.As a special case, we get a Lipschitz version of weakly p-nuclear operators.

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