摘要
w(A)表示有界线性算子A的数值半径.本文完全刻画了2×2复矩阵代数M_(2)(C)上满足w(AB-BA^(*))=w(Φ(A)Φ(B)-Φ(B)Φ(A)^(*))对任意A,B∈M_(2)(C)成立的一般映射Φ.
Denote by w(A)the numerical radius of a bounded linear operator A.In this paper,we give a complete characterization of general mapsφon 2×2 complex matrix algebras M_(2)(C)preserving w(AB-BA^(*))=w(Φ(A)Φ(B)-Φ(B)Φ(A)^(*))for all A,B∈M_(2)(C).
作者
孙少星
齐霄霏
SUN Shaoxing;QI Xiaofei(School of Mathematical Sciences,Shanxi University,Taiyuan,Shanai,030006,P.R.China)
出处
《数学进展》
CSCD
北大核心
2023年第5期925-938,共14页
Advances in Mathematics（China）
基金
Partially supported by NSFC(No.12171290)
Fund Program for the Scientific Activities of Selected Returned Overseas Professionals in Shanxi Province(No.20200011)
关键词
数值半径
斜Lie积
一般保持问题
numerical radius
skew Lie products
general preservers
