Zhou, M.; Chen, J.; Zhou, Y.; Thome, N. (2022). Weak group inverses and partial isometries in proper *-rings. Linear and Multilinear Algebra. 70(19):4528-4543. https://doi.org/10.1080/03081087.2021.1884639
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/192618
Title:
|
Weak group inverses and partial isometries in proper *-rings
|
Author:
|
Zhou, Mengmeng
Chen, Jianlong
Zhou, Yukun
Thome, Néstor
|
UPV Unit:
|
Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Telecomunicación - Escola Tècnica Superior d'Enginyers de Telecomunicació
|
Issued date:
|
|
Abstract:
|
[EN] A weak group element is introduced in a proper ¿-ring. Several equivalent conditions of weak group elements are investigated. We prove
that an element is pseudo core invertible if it is both partial isometry
and weak ...[+]
[EN] A weak group element is introduced in a proper ¿-ring. Several equivalent conditions of weak group elements are investigated. We prove
that an element is pseudo core invertible if it is both partial isometry
and weak group invertible. Reverse order law and additive property of the weak group inverse are presented. Finally, under certain
assumption on a, equivalent conditions of aW a¿ = a¿aW are presented by using the normality of the group invertible part of an
element in its group-EP decomposition
[-]
|
Subjects:
|
Weak group inverse
,
Weak group element
,
Pseudo core inverse
,
Partial isometry
|
Copyrigths:
|
Reserva de todos los derechos
|
Source:
|
Linear and Multilinear Algebra. (issn:
0308-1087
)
|
DOI:
|
10.1080/03081087.2021.1884639
|
Publisher:
|
Taylor & Francis
|
Publisher version:
|
https://doi.org/10.1080/03081087.2021.1884639
|
Project ID:
|
info:eu-repo/grantAgreement/Universidad Nacional de Río Cuarto//Res. 083%2F2020//Aproximación de Funciones e Inversas Generalizadas/
...[+]
info:eu-repo/grantAgreement/Universidad Nacional de Río Cuarto//Res. 083%2F2020//Aproximación de Funciones e Inversas Generalizadas/
info:eu-repo/grantAgreement/AEI//MTM2017-90682-REDT//RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/
info:eu-repo/grantAgreement/NSFC//11771076/
info:eu-repo/grantAgreement/NSFC//11871145/
info:eu-repo/grantAgreement/CSC//201906090122/
info:eu-repo/grantAgreement/Postgraduate Research and Practice Innovation Program of Jiangsu Province//KYCX18-0053/
[-]
|
Thanks:
|
This research was supported by the National Natural Science Foundation of China (No. 11771076,
11871145), the Postgraduate Research and Practice Innovation Program of Jiangsu Province (No.
KYCX18¿0053), the China Scholarship ...[+]
This research was supported by the National Natural Science Foundation of China (No. 11771076,
11871145), the Postgraduate Research and Practice Innovation Program of Jiangsu Province (No.
KYCX18¿0053), the China Scholarship Council (File No. 201906090122), the Qing Lan Project of
Jiangsu Province. The fourth author was partially supported by Ministerio de Economía y Competitividad of Spain (grant Red de Excelencia MTM2017-90682-REDT) and by Universidad Nacional
de Río Cuarto, Argentina, Res. Rectoral N 083/2020.
[-]
|
Type:
|
Artículo
|