Year: 2025
Type: article
Abstract: In this paper, we extend the concept of $q$-nuclear to $2$-Lipschitz mappings. We provide a factorization theorem and establish that a $2$-Lipschitz operator is $q$-nuclear if and only if its transpose is well-defined and $q$-nuclear. Additionally, we introduce the concept of $2$-Lipschitz Pietsch-$q$-integral operators, present a factorization theorem, and demonstrate that this class of operators is generated by the composition method. Conclusively, we demonstrate that every $2$-Lipschitz $q$-nuclear operator is a $2$-Lipschitz Pietsch-$q$-integral operator.
Author: Khaled Hamidi
Institution: University Mohamed Boudiaf of M'sila
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413459499