| 自伴算子代数上的Jordan可乘映射 |
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| 引用本文： | 张芳娟.自伴算子代数上的Jordan可乘映射[J].纺织高校基础科学学报,2014(2):187-189. |
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| 作者姓名： | 张芳娟 |
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| 作者单位： | [1]西安邮电大学理学院,陕西西安710121; [2]西安外事学院工学院,陕西西安710077 |
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| 基金项目： | 陕西省教育厅科研计划项目（2012JK0873） |
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| 摘 要： | 运用算子论方法,研究Bs(H)上的双射φ满足φ(ABA)=φ(A)φ(B)φ(A).证明了当且仅当存在酉算子和共轭酉算子U,使得A∈Bs(H),有φ(A)=εUAU*,其中ε=±1.得到了Bs(H)上的Jordan可乘映射是酉同构或共轭酉同构.
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| 关 键 词： | 自伴算子代数 Jordan可乘映射 非线性 |
Jordan multiplicative maps on seif-adjoint operator algebra |
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| ZHANG Fang-juan.Jordan multiplicative maps on seif-adjoint operator algebra[J].Basic Sciences Journal of Textile Universities,2014(2):187-189. |
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| Authors: | ZHANG Fang-juan |
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| Affiliation: | ZHANG Fang-juan(1. School of Science, Xi＇an University of Posts and Telecommunications, Xi＇an 710121, China; 2. College of Engineering, Xi＇an International University, Xi＇an 710077, China) |
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| Abstract: | Based on the operator theory,it is investigated that Bs（H）is a bijective map on Bs（H）which satisfiesφ（ABA）=φ（A）φ（B）φ（A）.It is proved that if and only if there exists an unitary or conjugate unitary operator Usuch thatφ（A）=εUAU＊for all A∈Bs（H）,whereε=±1.It is got that Jordan multiplicative map on Bs（H）is an unitary isomorphism or a conjugate unitary isomorphism. |
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| Keywords: | self-adjoint operator algebra Jordan multiplieative maps nonlinear |
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