The m-core-EP inverse in Minkowski space

Further characterizations and representations of the Minkowski inverse in Minkowski space

This paper is aimed to identify some new characterizations and representations of the Minkowski inverse in Minkowski space. First of all, a few representations of {1,3m}, {1,2,3m}, {1,4m} and {1,2,4m}-inverses are given in order to represent the Minkowski inverse. Secondly, some famous characterizations of the Moore-Penrose inverse are extended to that of the Minkowski inverse. Thirdly, using the Hartwig-Spindelböck decomposition we present a representation of the Minkowski inverse. And, based on this result, an interesting characterization of the Minkowski inverse is showed by a rank equation…

Banach代数中加权广义core-EP逆的新性质

New properties of weighted generalized core-EP inverse in Banach algebras

本文在Banach代数中利用典范分解和加权广义Drazin逆刻画广义加权core-EP逆，给出类极分解表示，并导出新性质。

广义BT逆与core-EP逆的同时推广

Simultaneous extension of generalized BT-inverses and core-EP inverses

该研究引入复方阵相对于同尺寸矩阵的广义逆，推导其性质与表示，同时给出W加权BT逆、W加权core-EP逆的新表示及四类广义逆的刻画，拓展了矩阵广义逆理论。

On the perturbation and expression for the core inverse of linear operator in Hilbert space

In this note, we provide some sufficient and necessary conditions for the core inverse of the perturbed operator to have the simplest possible expression. The results improve the recent work by H. Ma (Optimal perturbation bounds for the core inverse, Appl. Math. Comput. 336 (2018) 176-181.).

Banach *-代数中的广义[v,w]-核逆

Generalized [v,w]-core inverse in Banach *-algebras

本文在Banach *-代数中提出广义加权核逆，通过广义加权核分解和加权g-Drazin逆刻画其性质，并推广至复矩阵，统一了core-EP逆与广义核逆。

On the continuity and differentiability of the (dual) core inverse in C*-algebras

The continuity of the core inverse and the dual core inverse is studied in the setting of C*-algebras. Later, this study is specialized to the case of bounded Hilbert space operators and to complex matrices. In addition, the differentiability of these generalized inverses is studied in the context of C*-algebras.