| 摘要: |
| 本文研究了一类三元组正交保持的线性映射并刻画了保持τ-可测算子谱的线性映射.我们在更弱的条件下利用性质B刻画了保持三元组正交的线性映射,获得了这类映射是广义的Jordan导子的结果.对于保持τ-可测算子谱的线性映射研究,我们将有界算子中保谱的结果推广到无界算子. |
| 关键词: C*-代数 导子 性质B 谱 |
| DOI： |
| 分类号:O177.5;O177.7 |
| 基金项目:Supported by National Natural Science Foundation of China (11871021). |
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| CHARACTERIZATIONS OF SEVERAL CLASSES OF PRESERVERS |
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PAN Shao-ze, SU Shan-shan
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School of Mathematics, East China University of Science and Technology, Shanghai 200237, China
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| 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 unbounded operators. |
| Key words: C*-algebra derivation property B spectrum |
