Lipschitz closed injective hull ideals and Lipschitz interpolative ideals

R Yahi, D Achour, E Dahia - Quaestiones Mathematicae, 2024 - Taylor & Francis
In this paper we present two constructions: the Lipschitz closed injective hull ideals and the
Lipschitz interpolative ideals of a Lipschitz operator ideal. These procedures aim to construct …

The Lipschitz injective hull of Lipschitz operator ideals and applications

D Achour, E Dahia, P Turco - Banach Journal of Mathematical Analysis, 2020 - Springer
We introduce and study the Lipschitz injective hull of Lipschitz operator ideals defined
between metric spaces. We show some properties and apply the results to the ideal of …

[PDF][PDF] Multilinear mixing operators and Lipschitz mixing operator ideals

D Achour, E Dahia, MAS Saleh - Operators and matrices, 2018 - files.ele-math.com
In [15], EA Sánchez Pérez introduced the class of (s; q, θ)-mixing operators, as a
generalization of (s; q)-mixing operators. We investigate analogous concepts here for the …

Lattice Lipschitz superposition operators on Banach function spaces

R Arnau, JM Calabuig, E Erdoğan… - Journal of Mathematical …, 2025 - Elsevier
We analyse and characterise the notion of lattice Lipschitz operator when defined between
Banach function spaces. After showing some general results, we restrict our attention to the …

Lipschitz Transformations and maurey-type non-homogeneous integral inequalities for operators on banach function spaces

R Arnau, EA Sánchez-Pérez - Mathematics, 2023 - mdpi.com
We introduce a method based on Lipschitz pointwise transformations to define a distance on
a Banach function space from its norm. We show how some specific lattice geometric …

[HTML][HTML] Two-Lipschitz operator ideals

K Hamidi, E Dahia, D Achour, A Tallab - Journal of Mathematical Analysis …, 2020 - Elsevier
We introduce and investigate the concept of two-Lipschitz operator ideal between pointed
metric spaces and Banach spaces. We show the basics of this new theory and we give a …

[HTML][HTML] Lipschitz (p, r, s)-integral operators and Lipschitz (p, r, s)-nuclear operators

A Belacel, D Chen - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
We introduce the notions of strongly Lipschitz (p, r, s)-nuclear operators and strongly
Lipschitz (p, r, s)-integral operators. We develop a theory of strongly Lipschitz (p, r, s) …

Strongly -Lipschitz operators

A Bougoutaia, A Belacel, R Macedo - Advances in Operator Theory, 2023 - Springer
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 …

[PDF][PDF] Interpolative Lipschitz ideals

MAS Saleh - Colloquium Mathematicum, 2021 - academia.edu
Building upon the interpolation procedure of H. Jarchow and U. Matter for linear operator
ideals we define interpolative Lipschitz ideals between metric spaces and Banach spaces …

[HTML][HTML] Eccentric p-Summing Lipschitz Operators and Integral Inequalities on Metric Spaces and Graphs

R Arnau, EA Sánchez Pérez, S Sanjuan - Axioms, 2024 - mdpi.com
The extension of the concept of p-summability for linear operators to the context of Lipschitz
operators on metric spaces has been extensively studied in recent years. This research …