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.