关于Hilbert空间正交投影算子的刻画

Characteristic of Orthogonal Projection Operator on Hilbert Spaces

本文主要运用广义逆的的基本性质去研究Hilbert空间算子的正交投影,得到几个性质定理,推广了文献[1-3]中的相关结果.

This paper mainly uses the basic properties of the generalized inverse to study orthogonal projection on the Hilbert space. Some theorems are obtained; relevant results of references [ 1-3 ] are generalized