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.
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
关键词
标准算子代数
完全保持问题
不同因子交换
同构
standard operator algebras,completely preserver problems,commutativity up to a factor,isomorphisms