摘要
刻画了无限维复Hilbert空间上完全保立方幂零算子的可加映射.采用矩阵与算子理论的方法,证明了这样的映射是同构或(复情形)共轭同构.
Additive maps on complex infinite dimensional Hilbert spaces completely preserving cube-zero operators are characterized.By using the method of the theory of matrix and operator,it is proved that these maps are isomorphism or(in the complex case) conjugate-isomorphism.
出处
《纺织高校基础科学学报》
CAS
2011年第2期201-202,208,共3页
Basic Sciences Journal of Textile Universities
基金
太原科技大学博士科研启动基金资助项目(20082024)