科研之友
微信
新浪微博
Facebook
分享链接
摘要
Liao et al. proved that if the product is generalized Drazin invertible, then so is extending the Cline's formula to the case of the generalized Drazin invertibility. In this paper, we show that if is generalized Drazin invertible for arbitrary , then is generalized Drazin invertible in a Banach algebra. So, we generalize Cline's formula to the case of the generalized Drazin invertibility of the powers of the products of elements and . Also, we prove that is generalized Drazin invertible if and only if is generalized Drazin invertible; and is generalized Drazin invertible if and only if is generalized Drazin invertible.
- 出版日期2015-6-3
