| 自伴算子代数上保持乘积的-数值半径映射的刻画 |
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| 引用本文： | 张艳芳,方小春.自伴算子代数上保持乘积的-数值半径映射的刻画[J].同济大学学报(自然科学版),2020,48(5):751-755. |
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| 作者姓名： | 张艳芳 方小春 |
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| 作者单位： | 同济大学 数学科学学院,上海 200092 |
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| 基金项目： | 国家自然科学基金（13902340181） |
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| 摘 要： | 令为复Hilbert空间上自伴的有界线性算子全体组成的实Jordan代数。给出上保持算子乘积-数值半径的满射的刻画。进而对一类特殊的,刻画了上保持算子乘积的-数值域的满射。
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| 关 键 词： | -数值半径" target="_blank">content-type="mathml">-数值半径 -数值域" target="_blank">content-type="mathml">-数值域 保持问题. |
| 收稿时间： | 2019/8/19 0:00:00 |
Self-adjoint Operator Algebras Preserving the c-Numerical Radius Mapping of Operator Products |
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| ZHANG Yanfang,FANG Xiaochun.Self-adjoint Operator Algebras Preserving the c-Numerical Radius Mapping of Operator Products[J].Journal of Tongji University(Natural Science),2020,48(5):751-755. |
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| Authors: | ZHANG Yanfang FANG Xiaochun |
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| Institution: | School of Mathematical Sciences, Tongji University, Shanghai 200092, China |
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| Abstract: | Let be the real Jordan algebra of all self- adjoint operators on a complex Hilbert space.We characterize the surjective maps preserving the -numerical radius of products for operators in.Further, for a special kind of,the form of surjections preserving the -numerical range of products for operators in is obtained. |
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| Keywords: | -numerical radius" target="_blank">-numerical radius -numerical range" target="_blank">-numerical range preservers |
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