完全保持不定Jordan 1-?-零积的映射  

Maps Completely Preserving Indefinite Jordan 1-?-zero Product

作　　者：黄丽 张瑜 HUANG Li;ZHANG Yu(Department of Mathematics,School of Applied Science,Taiyuan University of Science and Technology,Taiyuan,Shanxi,030024,P.R-China)

机构地区：[1]太原科技大学应用科学学院数学系,太原山西030024

出　　处：《数学进展》2019年第1期81-88,共8页Advances in Mathematics（China）

基　　金：国家自然科学基金青年基金项目(No.11501401)

摘　　要：通过刻画无限维完备的不定内积空间上双边保幂等元正交性的双射,得到了?-标准算子代数之间完全保持不定Jordan 1-?-零积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非零常数倍.By characterizing the bijections pre serving orthogonality of idempotents in both directions on the infinite dimensional complete indefinite inner product spaces,we obtain the concrete form of surjective maps completely preserving indefinite Jordan 1-*-zero product between*-standard operator algebras.Our results show that such maps are nonzero scalar multiple of isomorphisms or conjugate isomorphisms.

关 键 词：*-标准算子代数 完全保持 不定内积空间 不定Jordan1-*-零积 

分 类 号：O177[理学—数学]