The Drazin inverses of infinite triangular matrices and their linear preservers

  • R. Słowik

Abstract

We consider the ring of all infinite $(N \times N)$ upper triangular matrices over a field $F$. We give a description of elements that are Drazin invertible in this ring. In the case where $F$ is such that $\mathrm{c}\mathrm{h}\mathrm{a}\mathrm{r}(F) \not = 2$ and $| F| > 4$, we find the form of linear preservers for the Drazin inverses.
Published
25.04.2018
How to Cite
SłowikR. “The Drazin Inverses of Infinite Triangular Matrices and Their Linear Preservers”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, no. 4, Apr. 2018, pp. 534-48, http://umj.imath.kiev.ua/index.php/umj/article/view/1574.
Section
Research articles