关于可逆算子对的性质

Some properties on the invertible operator pair

设H和K为复Hiblert空间,对给定的算子A∈B(H),B∈B(K,H),可逆算子是算子论中一类重要的算子类.利用算子论的初等方法,研究右可逆算子对(A,B)的等价刻划及其应用.

Let A and B be the operators acting on complex Hilbert spaces, where A ∈R（H） ;B ∈R（ H, H）. [nvcrtible operators are one of important operator classes. Firstly, the right invertiblity of the operator pair （A, B） is characterized by using the elementary method. Secondly, an application is given about the right invertible operator pair （A,B）.