中文摘要：

基于对可逆算子的系统研究，引入了Drazin可逆算子的相关性质．利用算子分块的方法，讨论了幂零算子与Drazin可逆的算子以及两个Drazin可逆的算子的和是否Drazin可逆的相关问题，并分别给出了其Drazin逆的具体刻画．

英文摘要：

Based on a systematic study of invertible operators, some relevant properties about Drazin invertible operators were introduced. By the method of operational partitioning, such problems as whether the sum of nilpotent operators and Drazin invertible operators as well as the sum of two Drazin invertible operators are Drazin invertible were discussed. Respective formulae were also put forward.