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arXiv · 2312.03104

Building ideals of two-Lipschitz operators between mertic and Banach spaces

Dahmane Achour·Elhadj Dahia
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Abstract

In this paper, we present and characterize the injective hull of a two-Lipschitz operator ideals and the definition of two-Lipschitz dual operator ideal. Also we introduce two methods for creating ideals of two-Lipschitz operators from a pair of Lipschitz operator ideals. Namely, Lipschitzization and factorization method. We show the closedness, the injectivity and the symmetry of these two-Lipschitz ideals according to the closedness, injectivity and symmetry of the corresponding Lipschitz operator ideals. Some illustrative examples are given.

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Dahmane Achour, Elhadj Dahia. 2023-12-05. Building ideals of two-Lipschitz operators between mertic and Banach spaces. https://arxiv.org/abs/2312.03104

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