- -

Weak group inverses and partial isometries in proper *-rings

RiuNet: Institutional repository of the Polithecnic University of Valencia

Share/Send to

Cited by

Statistics

  • Estadisticas de Uso

Weak group inverses and partial isometries in proper *-rings

Show simple item record

Files in this item

Thumbnail
Name: ZhouChenZhou - Weak ...
Size: 330.4Kb
Format: PDF
Description: Versión del Autor.
Open
dc.contributor.author Zhou, Mengmeng es_ES
dc.contributor.author Chen, Jianlong es_ES
dc.contributor.author Zhou, Yukun es_ES
dc.contributor.author Thome, Néstor es_ES
dc.date.accessioned 2023-03-27T18:01:29Z
dc.date.available 2023-03-27T18:01:29Z
dc.date.issued 2022-12-01 es_ES
dc.identifier.issn 0308-1087 es_ES
dc.identifier.uri http://hdl.handle.net/10251/192618
dc.description.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 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 es_ES
dc.description.sponsorship 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. es_ES
dc.language Inglés es_ES
dc.publisher Taylor & Francis es_ES
dc.relation info:eu-repo/grantAgreement/Universidad Nacional de Río Cuarto//Res. 083%2F2020//Aproximación de Funciones e Inversas Generalizadas/ es_ES
dc.relation info:eu-repo/grantAgreement/AEI//MTM2017-90682-REDT//RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/ es_ES
dc.relation info:eu-repo/grantAgreement/NSFC//11771076/ es_ES
dc.relation info:eu-repo/grantAgreement/NSFC//11871145/ es_ES
dc.relation info:eu-repo/grantAgreement/CSC//201906090122/ es_ES
dc.relation info:eu-repo/grantAgreement/Postgraduate Research and Practice Innovation Program of Jiangsu Province//KYCX18-0053/ es_ES
dc.relation.ispartof Linear and Multilinear Algebra es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Weak group inverse es_ES
dc.subject Weak group element es_ES
dc.subject Pseudo core inverse es_ES
dc.subject Partial isometry es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Weak group inverses and partial isometries in proper *-rings es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1080/03081087.2021.1884639 es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Telecomunicación - Escola Tècnica Superior d'Enginyers de Telecomunicació es_ES
dc.description.bibliographicCitation 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 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1080/03081087.2021.1884639 es_ES
dc.description.upvformatpinicio 4528 es_ES
dc.description.upvformatpfin 4543 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 70 es_ES
dc.description.issue 19 es_ES
dc.relation.pasarela S\426568 es_ES
dc.contributor.funder China Scholarship Council es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder Universidad Nacional de Río Cuarto es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder National Natural Science Foundation of China es_ES
dc.contributor.funder Jiangsu Province Key Research and Development, China es_ES
dc.contributor.funder Postgraduate Research and Practice Innovation Program of Jiangsu Province es_ES


This item appears in the following Collection(s)

Show simple item record