完全保持斜Jordan零积的映射  

Maps Completely Preserving Skew Jordan Zero Products

作　　者：李文慧[1] 黄丽[1] 张瑜[1] 赵红利[1] LI Wen-Hui HUANG Li ZHANG Yu ZHAO Hong-Li(School of Applied Science,Taiyuan University of Science and Technology,Taiyuan 030024,Shanxi,Chin)

机构地区：[1]太原科技大学应用科学学院

出　　处：《山西师范大学学报（自然科学版）》2017年第1期1-4,共4页Journal of Shanxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金青年基金项目(11501401)

摘　　要：本文利用复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空间上完全保持斜Jordan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者共轭同构的常数倍.By characterizations of the bijections preserving orthogonality of projection operators in both directions on complex Hilbert spaces,the surjective maps completely preserving skew Jordan zero products on infinite dimensional complex Hilbert spaces is obtained. The results show that the mappings are a scalar multiple of isomorphisms or a scalar multiple of conjugate isomorphisms.

关 键 词：复HILBERT空间 完全保持问题 斜Jordan零积 

分 类 号：O177.1[理学—数学]