数学杂志2024，Vol.44Issue(1)：47-58,12.
几类保持映射的刻画
CHARACTERIZATIONS OF SEVERAL CLASSES OF PRESERVERS
摘要
Abstract
In this paper,we study a class of linear mappings that triple orthogonality preservers and characterize those linear mappings that preserve the spectrum on algebras of τ-measurable operators.First,we use the property B to characterize linear mappings that triple orthogonality preservers under slightly weaker assumptions,and obtain that such mappings are generalized Jordan derivations.For the study of linear mappings which preserve the τ-measurable operator spectrum,the result of spectrum-preserving in bounded operators is extended to un-bounded operators.关键词
C*-代数/导子/性质B/谱Key words
C*-algebra/derivation/property B/spectrum分类
数理科学引用本文复制引用
潘绍泽,苏珊珊..几类保持映射的刻画[J].数学杂志,2024,44(1):47-58,12.基金项目
Supported by National Natural Science Foundation of China(11871021). （11871021）
