因子von Neumann代数上完全保~*-Jordan零积的映射的研究  

The Study of Maps Completely Preserving ~*-Jordan Zero-Products on Factor von Neumann Algebras

作　　者：刘红玉 霍东华 LIU Hong-yu;HUO Dong-hua(School of Mathematical Sciences, Mudanjiang Normal University, Mudanjiang 157012, China)

机构地区：[1]牡丹江师范学院数学科学学院,黑龙江牡丹江157012

出　　处：《哈尔滨理工大学学报》2018年第6期151-154,共4页Journal of Harbin University of Science and Technology

基　　金：黑龙江省教育厅科研备案项目(1351MSYYB015);牡丹江师范学院青年一般项目(QN2018006)

摘　　要：为了研究因子von Neumann代数上完全保~*-Jordan零积的满射的刻画问题,依据双边完全保~*-Jordan零积和双边2-保~*-Jordan零积的定义,采用完全保持的方法,证明了如果Φ是von Neumann代数A到B的一个满射,则Φ是线性或共轭线性~*-同构的非零常数倍。In order to characterize the maps completely preserving*-Jordan zero-products on factor von Neumann algebras,according to the definition of bilateral complete preserving*-Jordan zero-products and bilateral2-preserving*-Jordan zero-products,taking a completely preserve approach,it is proved that ifΦis a surjection of von Neumann algebra A to B,thenΦis the non-zero scalar multiple of linear or conjugate linear*-isomorphism.

关 键 词：双边完全保*-Jordan零积 双边2-保*-Jordan零积 因子von NEUMANN代数 

分 类 号：O152.2[理学—数学]