Strongly (p,σ ) -Lipschitz operators

Amar Bougoutaia,Amar Belacel,Renato Macedo

Advances in Operator Theory（2023）

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摘要

This work aims to define a new class of operators, called strongly ( p,σ) -Lipschitz mappings. We prove a Pietsch type domination/factorization theorem for this class of operators and show it characterizes Lipschitz mappings whose Lipschitz conjugates are absolutely (p^*;σ ) -summing.

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关键词

Lipschitz strongly p-summing,Lipschitz operators,(p,σ ) -absolutely Lipschitz mappings,Pietsch factorization theorem

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