Continuous surjectivemaps preserving projections of Jordan products on the space of self-adjoint operators
Continuous surjectivemaps preserving projections of Jordan products on the space of self-adjoint operators
复制标题
连续的满射图保留了乔丹积在自伴算子空间上的投影
DOI：
10.1007/s43034-019-00015-2
复制
发表时间：
2020
影响因子：
1
通讯作者：
吉国兴
中科院分区：
文献类型：
--
作者：
于聪;吉国兴
设为复Hilbert空间上所有自伴算子的实线性空间。证明了连续满射映射保持了两个算子的Jordan积在两个方向上的非零投影当且仅当存在一个酉算子或反酉算子Uon，且一个常数使得对所有人都成立.
Letbe the real linear space of all self-adjoint operators on a complex Hilbert spacewith. It is proved that a continuous surjective maponpreserves nonzero projections of Jordan products of two operators in both directions if and only if there exist a unitary or an anti-unitary operatorUonand a constantwithsuch thatfor all.