标准算子代数上完全保Jordan-η^(*)-零积  

Maps Completely Preserving Jordan-η^(*)-Zero Product inthe*-Standard Operator Algebras

作　　者：吴美芳 黄丽[1] WU Mei-fang;HUANG Li(School of Applied Science,Taiyuan University of Science and Technology,Taiyuan 030024,China)

机构地区：[1]太原科技大学应用科学学院,太原030024

出　　处：《太原科技大学学报》2021年第3期237-241,共5页Journal of Taiyuan University of Science and Technology

基　　金：国家自然科学青年基金(11501401)。

摘　　要：通过利用复Hilbert空间上的投影算子的双边保正交性双射的刻画,得到了复无限维Hilbert空间上*标准算子代数上完全保持Jordan-η^(*)-零积的满射的具体结构形式,进而证明了这样的映射是同构或共轭同构的常数倍。By characterizing the bijections preserving orthogonality in the both directions of projection operators on the complex Hilbert space,the concrete structural form of surjective maps completely preserving Jordanη-^(*)-zero product between*-standard operator algebras is obtained,and it is proved that such maps are either a scalar multiple of isomorphisms or conjugate isomorphisms.

关 键 词：*标准算子代数 完全保持问题 Jordan-η^(*)-零积 

分 类 号：O177.1[理学—数学]