Work

Weak 2-Local Inner Derivations of Semiprime ∗-Banach Algebras

Year: 2025

Type: article

Abstract: This paper introduces and examines the concept of weak 2-local inner derivations and their relationship to P-2-local mappings. It is established that every such mapping on a semiprime ∗-Banach algebra with a faithful trace is a derivation, which also provides a complete characterization on finite von Neumann algebras. Additionally, it is shown that weak 2-local inner derivations coincide with the 2-local reflection closure of the inner derivations.

Source: Mathematics

DOI: 10.3390/math13223652

Authors: Boxian Li, Xiangqi Qiang

Institution: Jiangsu University of Science and Technology

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: National Natural Science Foundation of China