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On the continuity of the group inverse in C*-Algebras

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On the continuity of the group inverse in C*-Algebras

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Benítez López, J.; Cvetkovic-Ilic, D.; Liu, X. (2014). On the continuity of the group inverse in C*-Algebras. Banach Journal of Mathematical Analysis. 8(2):204-213. https://doi.org/10.15352/bjma/1396640064

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/52732

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Title: On the continuity of the group inverse in C*-Algebras
Author: Benítez López, Julio Cvetkovic-Ilic, D. Liu, X.
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] Let {a_n} be a sequence of group invertible elements of a unital C* algebra A that converges to a. We present some equivalent conditions for the group invertibility of a and for the convergence of {a^#_n} to a#.
Subjects: Continuity , Group inverse , C -algebras , Generalized inverses.
Copyrigths: Reserva de todos los derechos
Source:
Banach Journal of Mathematical Analysis. (issn: 1735-8787 )
DOI: 10.15352/bjma/1396640064
Publisher:
Duke University Press
Publisher version: http://doi.org/10.15352/bjma/1396640064
Project ID:
info:eu-repo/grantAgreement/UPV//PAID-06-12/
info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174007/RS/Functional analysis, stochastic analysis and applications/
info:eu-repo/grantAgreement/GXNSF//FAA019008/
info:eu-repo/grantAgreement/GXNSF//201202ZD031/
info:eu-repo/grantAgreement/NSFC//11361009/
Thanks:
The first author was supported by the Universidad Politecnica de Valencia (PAID-06-12). The second author is supported by Grant No. 174007 of the Ministry of Science, Technology and Development, Republic of Serbia. The ...[+]
Type: Artículo

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