巴拿赫空间上的Drazin可逆算子的反序律

The Reverse Order Law of the Drazin Invertible Operators on Banach Spaces

在某些算子等式成立的前提下,研究了巴拿赫空间中的Drazin可逆算子的反序律及交换关系,利用Drazin可逆算子的矩阵表示,得到了两个Drazin可逆算子的反序律成立的充分必要条件.

We study the reverse order law and commutative relation of the Drazin invertible operators on Banach spaces under certain conditions.By utilizing the matrix representation of the Drazin invertible operators,the sufficient and necessary conditions of the reverse order law of two Drazin invertible operators are obtained.