Group inverse of finite potent endomorphisms on arbitrary vector spaces
Fernando Pablos Romo · Operators and Matrices · 2020
The aim of this work is to introduce the group inverse of a finite potent endomorphism on an infinite-dimensional vector space that generalizes the notion of group inverse of a square finite matrix. The existence and uniqueness of this inverse is proved, several properties are offered and the relations with Drazin inverse, CMP inverse and DMP inverses are studied.