Work

Pseudospectrum of ξ‐Lie product on bounded linear operators

Year: 2026

Type: article

Abstract: Let and be the algebra of all bounded linear operators on a complex Hilbert space and the Jordan algebra of all self‐adjoint operators in , respectively. In this paper, we give characterizations of rank one operators by the pseudospectrum on ‐Lie product of bounded linear operators and discuss some properties about the pseudospectrum. As applications, we obtain the structures of all surjective maps preserving the pseudospectrum of ‐Lie product on and , respectively.

Source: Mathematika

DOI: 10.1112/mtk.70079

Authors: Jiahe Guo, Xiaofei Qi, Shaoxing Sun, Yujie Tuo

Institutions: Shanxi University, Air Force Engineering University

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, Shanxi Scholarship Council of China, Natural Science Basic Research Program of Shaanxi Province

Awards: G1899965487, G382726032, G3919049970, G4173658656