Banach代数上伪Drazin逆的反序

The Reverse Order Laws for the Pseudo Drazin Inverse in Banach Algebras

在Banach代数上,研究伪Drazin逆在乘积ab与a或b,aab与b和abb与a都可交换的情况下给出了相应的结论.同时给出了广义Drazin逆的相关结果,研究了反序(ab)d=(adab)dad,(ab)d=bd(abbd)d成立的等价条件.

The reverse order laws for the pseudo Drazin inverse are investigated in Banach algebras under some conditions, such as ab and a or b a≠ab and b , abb≠ and a can be exchanged. Similar results related to the generalized Drazin inverse are presented. The equivalent conditions of the reverse orderlaws（ab）d=（adab）dad,（ab）d=bd（abbd）d are studied.