Group inverse and core inverse in Banach and C*-algebras

2020 ◽  
Vol 48 (4) ◽  
pp. 1803-1818
Author(s):  
Nadica Mihajlović
Keyword(s):  
Group Inverse ◽  
C Algebras ◽  
Core Inverse

The group inverse and core inverse of sums of two elements in a ring

2019 ◽  
Vol 48 (2) ◽  
pp. 676-690
Author(s):  
Mengmeng Zhou ◽  
Jianlong Chen ◽  
Xia Zhu
Keyword(s):  
Group Inverse ◽  
Core Inverse

scholarly journals On the continuity of the group inverse in $C^*$-algebras

2014 ◽  
Vol 8 (2) ◽  
pp. 204-213 ◽  
Author(s):  
J. Benítez ◽  
D. Cvetković-Ilić ◽  
X. Liu
Keyword(s):  
Group Inverse ◽  
C Algebras

scholarly journals Rank Equalities Related to the Generalized Inverses A‖(B1,C1), D‖(B2,C2) of Two Matrices A and D

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 539 ◽  
Author(s):  
Wenjie Wang ◽  
Sanzhang Xu ◽  
Julio Benítez
Keyword(s):  
Generalized Inverses ◽  
Drazin Inverse ◽  
Group Inverse ◽  
Complex Matrix ◽  
The Core ◽  
Core Inverse

Let A be an n × n complex matrix. The ( B , C ) -inverse A ∥ ( B , C ) of A was introduced by Drazin in 2012. For given matrices A and B, several rank equalities related to A ∥ ( B 1 , C 1 ) and B ∥ ( B 2 , C 2 ) of A and B are presented. As applications, several rank equalities related to the inverse along an element, the Moore-Penrose inverse, the Drazin inverse, the group inverse and the core inverse are obtained.

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

2018 ◽  
Vol 68 (4) ◽  
pp. 686-709 ◽  
Author(s):  
Julio Benítez ◽  
Enrico Boasso ◽  
Sanzhang Xu
Keyword(s):  
C Algebras ◽  
Core Inverse ◽  
Dual Core

An Introduction to K-Theory for C*-Algebras

2000 ◽  
Author(s):  
M. Rørdam ◽  
F. Larsen ◽  
N. Laustsen
Keyword(s):  
C Algebras ◽  
K Theory

scholarly journals Optimal transport and unitary orbits in C⁎-algebras

2021 ◽  
Vol 281 (5) ◽  
pp. 109068
Author(s):  
Bhishan Jacelon ◽  
Karen R. Strung ◽  
Alessandro Vignati
Keyword(s):  
Optimal Transport ◽  
C Algebras

Non‐associative C *‐algebras

2021 ◽  
pp. 111-153
Author(s):  
Ángel Rodríguez Palacios ◽  
Miguel Cabrera García
Keyword(s):  
C Algebras
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