The aim of this paper is to establish formulae for the Drazin inverse of anti-triangular block
matrices under new assumptions in literature. Precisely, we consider the Drazin inverse of …

The main contribution of this paper is to develop explicit expressions for the Drazin inverse
of two kinds of anti-triangular block complex matrices under new assumptions. Further, we …

THE DRAZIN INVERTIBILITY OF AN ANTI-TRIANGULAR MATRIX OVER A RING 1. Introduction
Throughout this paper, R denotes a ring with u Page 1 Studia Scientiarum Mathematicarum …

Some additive results for the Drazin inverses are investigated under conditions weaker than
those used in some recent papers on this subject. In particular, a formula is given for the …

For two square matrices 𝑃 and 𝑄 over skew fields, the explicit formulas for the Drazin
inverse of 𝑃+ 𝑄 are given in the cases of (i) 𝑃𝑄²= 0, 𝑃²𝑄𝑃= 0,(𝑄𝑃) ²= 0;(ii) 𝑃²𝑄𝑃= 0, 𝑃³𝑄= 0 …

The expressions for the Drazin inverse of two kinds of anti-triangular block matrices are
developed under new and weaker assumptions relative to those already used recently in …

Representations for the generalized Drazin inverse of an operator matrix A&B\C&D are
presented in terms of A,B,C,D and the generalized Drazin inverses of A,D, under the …

This paper deals with the semigroup generation of anti‐triangular operator matrices M with
unbounded entries in Hilbert space. Based on the space decomposition, some necessary …

Abstract Let T= 0 BCD: D (C)× D (B)⊂ X× X→ X× X be a 2× 2 unbounded anti-triangular
operator matrix on complex Hilbert space X× X. Using the relative compact perturbation …

Banach代数中广义Drazin逆的相关结果 Page 1 第58卷第3期 吉林大学学报(理学版) 2020年5月
JournalofJilinUniversity(ScienceEdition) May 2020 研究简报 doi:10.13413/j.cnki.jdxblxb.2019309 …