Building ideals of two-Lipschitz operators between mertic and Banach spaces
Functional Analysis
2024-02-01 v2
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.
Keywords
Cite
@article{arxiv.2312.03104,
title = {Building ideals of two-Lipschitz operators between mertic and Banach spaces},
author = {Dahmane Achour and Elhadj Dahia},
journal= {arXiv preprint arXiv:2312.03104},
year = {2024}
}
Comments
20 pages