- -

Some Results on the Symmetric Representation of the Generalized Drazin Inverse in a Banach Algebra

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Some Results on the Symmetric Representation of the Generalized Drazin Inverse in a Banach Algebra

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: Qin;Liu;Benítez - ...
Tamaño: 258.0Kb
Formato: PDF
Descripción: Versión editorial
Abrir
dc.contributor.author Qin, Yonghui es_ES
dc.contributor.author Liu, Xiaoji es_ES
dc.contributor.author Benítez López, Julio es_ES
dc.date.accessioned 2020-06-06T03:32:48Z
dc.date.available 2020-06-06T03:32:48Z
dc.date.issued 2019-01-17 es_ES
dc.identifier.uri http://hdl.handle.net/10251/145550
dc.description.abstract [EN] Based on the conditions ab(2) = 0 and b pi(ab) is an element of A(d), we derive that (ab)(n), (ba)(n), and ab + ba are all generalized Drazin invertible in a Banach algebra A, where n is an element of N and a and b are elements of A. By using these results, some results on the symmetry representations for the generalized Drazin inverse of ab + ba are given. We also consider that additive properties for the generalized Drazin inverse of the sum a + b. es_ES
dc.description.sponsorship This work was supported by the National Natural Science Foundation of China (grant number: 11361009, 61772006,11561015), the Special Fund for Science and Technological Bases and Talents of Guangxi (grant number: 2016AD05050, 2018AD19051), the Special Fund for Bagui Scholars of Guangxi (grant number: 2016A17), the High level innovation teams and distinguished scholars in Guangxi Universities (grant number: GUIJIAOREN201642HAO), the Natural Science Foundation of Guangxi (grant number: 2017GXNSFBA198053, 2018JJD110003), and the open fund of Guangxi Key laboratory of hybrid computation and IC design analysis (grant number: HCIC201607). es_ES
dc.language Inglés es_ES
dc.publisher MDPI AG es_ES
dc.relation.ispartof Symmetry (Basel) es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Generalized Drazin inverse es_ES
dc.subject Banach algebra es_ES
dc.subject Representation es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Some Results on the Symmetric Representation of the Generalized Drazin Inverse in a Banach Algebra es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/sym11010105 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/High Level Innovation Teams and Distinguished Scholars in Guangxi Universities//GUIJIAOREN201642HAO/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Special Fund for Science and Technological Bases and Talents of Guangxi//2016AD05050/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Special Fund for Science and Technological Bases and Talents of Guangxi//2018AD19051/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis//HCIC201607/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Special Fund for Bagui Scholars of Guangxi//2016A17/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//11361009/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//61772006/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//11561015/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GXNSF//2017GXNSFBA198053/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GXNSF//2018JJD110003/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Qin, Y.; Liu, X.; Benítez López, J. (2019). Some Results on the Symmetric Representation of the Generalized Drazin Inverse in a Banach Algebra. Symmetry (Basel). 11(1):1-9. https://doi.org/10.3390/sym11010105 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/sym11010105 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 9 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 11 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 2073-8994 es_ES
dc.relation.pasarela S\376493 es_ES
dc.contributor.funder Guangxi Natural Science Fundation, China es_ES
dc.contributor.funder Special Fund for Bagui Scholars of Guangxi es_ES
dc.contributor.funder National Natural Science Foundation of China es_ES
dc.contributor.funder Special Fund for Science and Technological Bases and Talents of Guangxi es_ES
dc.contributor.funder High Level Innovation Teams and Distinguished Scholars in Guangxi Universities es_ES
dc.contributor.funder Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis es_ES
dc.description.references González, N. C. (2005). Additive perturbation results for the Drazin inverse. Linear Algebra and its Applications, 397, 279-297. doi:10.1016/j.laa.2004.11.001 es_ES
dc.description.references Zhang, X., & Chen, G. (2006). The computation of Drazin inverse and its application in Markov chains. Applied Mathematics and Computation, 183(1), 292-300. doi:10.1016/j.amc.2006.05.076 es_ES
dc.description.references Castro-González, N., Dopazo, E., & Martínez-Serrano, M. F. (2009). On the Drazin inverse of the sum of two operators and its application to operator matrices. Journal of Mathematical Analysis and Applications, 350(1), 207-215. doi:10.1016/j.jmaa.2008.09.035 es_ES
dc.description.references Qiao, S., Wang, X.-Z., & Wei, Y. (2018). Two finite-time convergent Zhang neural network models for time-varying complex matrix Drazin inverse. Linear Algebra and its Applications, 542, 101-117. doi:10.1016/j.laa.2017.03.014 es_ES
dc.description.references Stanimirovic, P. S., Zivkovic, I. S., & Wei, Y. (2015). Recurrent Neural Network for Computing the Drazin Inverse. IEEE Transactions on Neural Networks and Learning Systems, 26(11), 2830-2843. doi:10.1109/tnnls.2015.2397551 es_ES
dc.description.references Koliha, J. J. (1996). A generalized Drazin inverse. Glasgow Mathematical Journal, 38(3), 367-381. doi:10.1017/s0017089500031803 es_ES
dc.description.references Hartwig, R. E., Wang, G., & Wei, Y. (2001). Some additive results on Drazin inverse. Linear Algebra and its Applications, 322(1-3), 207-217. doi:10.1016/s0024-3795(00)00257-3 es_ES
dc.description.references Djordjević, D. S., & Wei, Y. (2002). Additive results for the generalized Drazin inverse. Journal of the Australian Mathematical Society, 73(1), 115-126. doi:10.1017/s1446788700008508 es_ES
dc.description.references Liu, X., Xu, L., & Yu, Y. (2010). The representations of the Drazin inverse of differences of two matrices. Applied Mathematics and Computation, 216(12), 3652-3661. doi:10.1016/j.amc.2010.05.016 es_ES
dc.description.references Yang, H., & Liu, X. (2011). The Drazin inverse of the sum of two matrices and its applications. Journal of Computational and Applied Mathematics, 235(5), 1412-1417. doi:10.1016/j.cam.2010.08.027 es_ES
dc.description.references Harte, R. (1992). On generalized inverses in C*-algebras. Studia Mathematica, 103(1), 71-77. doi:10.4064/sm-103-1-71-77 es_ES
dc.description.references Djordjevic, D. S., & Stanimirovic, P. S. (2001). On the Generalized Drazin Inverse and Generalized Resolvent. Czechoslovak Mathematical Journal, 51(3), 617-634. doi:10.1023/a:1013792207970 es_ES
dc.description.references Cvetković-Ilić, D. S., Djordjević, D. S., & Wei, Y. (2006). Additive results for the generalized Drazin inverse in a Banach algebra. Linear Algebra and its Applications, 418(1), 53-61. doi:10.1016/j.laa.2006.01.015 es_ES
dc.description.references Liu, X., Qin, X., & Benítez, J. (2016). New additive results for the generalized Drazin inverse in a Banach algebra. Filomat, 30(8), 2289-2294. doi:10.2298/fil1608289l es_ES
dc.description.references Mosić, D., Zou, H., & Chen, J. (2017). The generalized Drazin inverse of the sum in a Banach algebra. Annals of Functional Analysis, 8(1), 90-105. doi:10.1215/20088752-3764461 es_ES
dc.description.references González, N. C., & Koliha, J. J. (2004). New additive results for the g-Drazin inverse. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 134(6), 1085-1097. doi:10.1017/s0308210500003632 es_ES
dc.description.references Mosić, D. (2014). A note on Cline’s formula for the generalized Drazin inverse. Linear and Multilinear Algebra, 63(6), 1106-1110. doi:10.1080/03081087.2014.922965 es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem