Group inverse for anti-triangular block operator matrices
Rings and Algebras
2022-03-18 v1
Abstract
We present the existence of the group inverse and its representation for the block operator matrix under the condition . The group inverse for the anti-triangular block matrices with two identical subblocks under the same condition is thereby investigated. These extend the results of Zou, Chen and Mosi\'c (Studia Scient. Math. Hungar., 54(2017), 489--508), and Cao, Zhang and Ge (J. Appl. Math. Comput., 46(2014), 169--179).
Keywords
Cite
@article{arxiv.2203.09086,
title = {Group inverse for anti-triangular block operator matrices},
author = {Huanyin Chen and Marjan Sheibani},
journal= {arXiv preprint arXiv:2203.09086},
year = {2022}
}