On the Drazin inverse of finite potent endomorphisms

ABSTRACT

The aim of this work is to prove the existence of Drazin inverses for matrices associated with finite potent endomorphisms on arbitrary vector spaces. The result offered coincides with the classical Drazin inverse matrix for finite-dimensional vector spaces over $\mathbb{C}$.

KEYWORDS:

• Finite potent endomorphism
• Drazin inverse

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 15A09
• 15A03
• 15A04

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Funding

This work is partially supported by the Spanish Government research contract no. MTM2015-32342.