完全保持不同因子交换性的映射  

Maps Completely Preserving Commutativity up to a Factor on Standard Operator Algebras

作　　者：刘艳晓[1] 黄丽[1] 

机构地区：[1]太原科技大学应用科学学院

出　　处：《太原科技大学学报》2015年第3期237-240,共4页Journal of Taiyuan University of Science and Technology

摘　　要：刻画了实或复的无限维Banch空间上的标准算子代数间完全保持不同因子交换性的一般映射,证明了这样的映射是同构的常数倍或(复的情形下)共轭同构的常数倍。This paper gives a characterization of surjections between A and B which completely preserves commuta-tivity up to a factor in both directions,which shows that every map completely preserving commutativity up to a fac-tor from A onto B is a scalar multiple of either an isomorphism or( in the complex case)a conjugate isomorphism.

关 键 词：标准算子代数 完全保持问题 不同因子交换 同构 

分 类 号：O177.2[理学—数学]