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

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

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Nombre: Benítez;Boasso;Xu ...
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dc.contributor.author Benítez López, Julio es_ES
dc.contributor.author Boasso, Enrico es_ES
dc.contributor.author Xu, Sanzhang es_ES
dc.date.accessioned 2021-02-06T04:32:58Z
dc.date.available 2021-02-06T04:32:58Z
dc.date.issued 2020-04-02 es_ES
dc.identifier.issn 0308-1087 es_ES
dc.identifier.uri http://hdl.handle.net/10251/160807
dc.description.abstract [EN] The continuity of the core inverse and the dual core inverse is studied in the setting of -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 -algebras. es_ES
dc.description.sponsorship The third author is supported by the Scientific Research Foundation for doctorate programme at Huaiyin Institute of Technology [grant number Z301B18534]. The third author is grateful to China Scholarship Council for helping him pursue his further study at Universitat Politècnica de València, Spain es_ES
dc.language Inglés es_ES
dc.publisher Taylor & Francis es_ES
dc.relation.ispartof Linear and Multilinear Algebra es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Core inverse es_ES
dc.subject Dual core inverse es_ES
dc.subject C¿-algebra es_ES
dc.subject Hilbert space es_ES
dc.subject Matrices es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the continuity and differentiability of the (dual) core inverse in C*-algebras es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1080/03081087.2018.1516187 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/HYIT//Z301B18534/ 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 Benítez López, J.; Boasso, E.; Xu, S. (2020). On the continuity and differentiability of the (dual) core inverse in C*-algebras. Linear and Multilinear Algebra. 68(4):686-709. https://doi.org/10.1080/03081087.2018.1516187 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1080/03081087.2018.1516187 es_ES
dc.description.upvformatpinicio 686 es_ES
dc.description.upvformatpfin 709 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 68 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\373520 es_ES
dc.contributor.funder Huaiyin Institute of Technology es_ES
dc.description.references Baksalary, O. M., & Trenkler, G. (2010). Core inverse of matrices. Linear and Multilinear Algebra, 58(6), 681-697. doi:10.1080/03081080902778222 es_ES
dc.description.references Rakić, D. S., Dinčić, N. Č., & Djordjević, D. S. (2014). Group, Moore–Penrose, core and dual core inverse in rings with involution. Linear Algebra and its Applications, 463, 115-133. doi:10.1016/j.laa.2014.09.003 es_ES
dc.description.references Rakić, D. S., Dinčić, N. Č., & Djordjević, D. S. (2014). Core inverse and core partial order of Hilbert space operators. Applied Mathematics and Computation, 244, 283-302. doi:10.1016/j.amc.2014.06.112 es_ES
dc.description.references Xu, S., Chen, J., & Zhang, X. (2016). New characterizations for core inverses in rings with involution. Frontiers of Mathematics in China, 12(1), 231-246. doi:10.1007/s11464-016-0591-2 es_ES
dc.description.references Drazin, M. P. (2012). A class of outer generalized inverses. Linear Algebra and its Applications, 436(7), 1909-1923. doi:10.1016/j.laa.2011.09.004 es_ES
dc.description.references Boasso, E., & Kantún-Montiel, G. (2017). The (b, c)-Inverse in Rings and in the Banach Context. Mediterranean Journal of Mathematics, 14(3). doi:10.1007/s00009-017-0910-1 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 Harte, R. (1993). Generalized inverses in C*-algebras II. Studia Mathematica, 106(2), 129-138. doi:10.4064/sm-106-2-129-138 es_ES
dc.description.references Penrose, R. (1955). A generalized inverse for matrices. Mathematical Proceedings of the Cambridge Philosophical Society, 51(3), 406-413. doi:10.1017/s0305004100030401 es_ES
dc.description.references Mbekhta, M. (1992). Conorme et Inverse Généralisé Dans Les C*-Algèbres. Canadian Mathematical Bulletin, 35(4), 515-522. doi:10.4153/cmb-1992-068-8 es_ES
dc.description.references Du, F., & Xue, Y. (2012). Perturbation analysis of A_{T,S}^(2) on Banach Spaces. The Electronic Journal of Linear Algebra, 23. doi:10.13001/1081-3810.1543 es_ES
dc.description.references Benítez, J., Cvetković-Ilić, D., & Liu, X. (2014). On the continuity of the group inverse in $C^*$-algebras. Banach Journal of Mathematical Analysis, 8(2), 204-213. doi:10.15352/bjma/1396640064 es_ES
dc.description.references Benítez, J., & Cvetković-Ilić, D. (2013). On the elements aa† and a†a in a ring. Applied Mathematics and Computation, 222, 478-489. doi:10.1016/j.amc.2013.07.015 es_ES
dc.description.references Koliha, J. J. (2001). Continuity and differentiability of the Moore-Penrose inverse in $C^*$-algebras. MATHEMATICA SCANDINAVICA, 88(1), 154. doi:10.7146/math.scand.a-14320 es_ES
dc.description.references Koliha, J. J., & Rakočević, V. (2004). On the Norm of Idempotents in $C^*$ -Algebras. Rocky Mountain Journal of Mathematics, 34(2). doi:10.1216/rmjm/1181069874 es_ES
dc.description.references Benítez, J., & Liu, X. (2012). On the continuity of the group inverse. Operators and Matrices, (4), 859-868. doi:10.7153/oam-06-55 es_ES
dc.description.references Douglas, R. G. (1966). On majorization, factorization, and range inclusion of operators on Hilbert space. Proceedings of the American Mathematical Society, 17(2), 413-413. doi:10.1090/s0002-9939-1966-0203464-1 es_ES
dc.description.references Boasso, E. (2009). Drazin spectra of Banach space operators and Banach algebra elements. Journal of Mathematical Analysis and Applications, 359(1), 48-55. doi:10.1016/j.jmaa.2009.05.036 es_ES
dc.description.references Rakić, D. S. (2017). A note on Rao and Mitra’s constrained inverse and Drazin’s (b,c) inverse. Linear Algebra and its Applications, 523, 102-108. doi:10.1016/j.laa.2017.02.025 es_ES
dc.description.references Stewart, G. W. (1969). On the Continuity of the Generalized Inverse. SIAM Journal on Applied Mathematics, 17(1), 33-45. doi:10.1137/0117004 es_ES


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