摘要
刻画了无限维实或复Banach空间上的标准算子代数间完全保对合性的可加映射,证明了这样的映射是同构的常数倍或(复情形下)共轭同构的常数倍.
Additive maps between standard operator algebras on real or complex infinite dimensional Banach spaces completely preserving involution are characterized,and it shows that such maps are isomorphisms multiplied by a constant or(in the complex case) conjugateisomorphisms multiplied by a constant.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第10期156-162,共7页
Mathematics in Practice and Theory
基金
太原科技大学博士科研启动基金(20082024)
关键词
标准算子代数
完全保持问题
对合性
可加映射
同构
standard operator algebra
complete preserver problems
involution
additive maps
isomorphisms