首页>>学术交流中心>>讲座预告:徐小明博士谈“Symmetries for $J$-projection”

讲座预告:徐小明博士谈“Symmetries for $J$-projection”

作者:陈泳   点击:0  发布时间:2019-11-08 10:46:17


时间:2019.11.11(周一)上午10:00-10:30

地点:勤园21-306

主讲人:徐小明,上海应用技术大学理学院副院长。主持国家基金1项,已在知名数学杂志上发表SCI论文多篇。

内容简介:Let $\mathcal{B(H)}$ be the algebra of all bounded linear operators on a separable complex Hilbert space $\mathcal{H}.$ We introduce the $J$-decomposition property for projections in $\mathcal{B(H)},$ and prove that the projection $E$ in $\mathcal{B(H)}$ has $J$-decomposition property with respect to a particular space decomposition, which is related to Halmos' two projections theory. Using this, we characterize symmetries $J$ such that the given projection $E$ is a $J$-projection (or $J$-positive projection, or $J$-negative projection). In consequence we study the related properties of symmetries for $J$-projection.