Ferreyra, DE.; Latanzi, M.; Levis, F.; Thome, N. (2019). Left and right generalized Drazin invertible operators on Banach spaces and applications. Operators and Matrices. 13(3):569-583. https://doi.org/10.7153/oam-2019-13-43
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/140188
Title:
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Left and right generalized Drazin invertible operators on Banach spaces and applications
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Author:
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Ferreyra, David Eduardo
Latanzi, Marina
Levis, Fabian
Thome, Néstor
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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[EN] In this paper, left and right generalized Drazin invertible operators on Banach spaces are defined and characterized by means of the generalized Kato decomposition. Then, new binary relations associated with these ...[+]
[EN] In this paper, left and right generalized Drazin invertible operators on Banach spaces are defined and characterized by means of the generalized Kato decomposition. Then, new binary relations associated with these operators are presented and studied. In addition, a new characterization of the generalized Drazin pre-order and a sufficient condition for that to be a partial order are given by using a matrix operator technique.
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Subjects:
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Drazin pre-order
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Left and right generalized Drazin inverses
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Matrix operator technique
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Mbekhta decomposition
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Operators and Matrices. (issn:
1846-3886
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DOI:
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10.7153/oam-2019-13-43
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Publisher:
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Element d.o.o.
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Publisher version:
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https://doi.org/10.7153/oam-2019-13-43
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Project ID:
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info:eu-repo/grantAgreement/UNLPam//155%2F14/
info:eu-repo/grantAgreement/CONICET//PIP 11220150100433CO/
info:eu-repo/grantAgreement/UNRC//PPI 18%2FC472/
info:eu-repo/grantAgreement/AEI//MTM2017-90682-REDT/ES/RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/
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Thanks:
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This paper was partially supported by Universidad Nacional de La Pampa, Facultad de Ingenieria (grant Resol. No 155/14), Universidad Nacional de Rio Cuarto (grant PPI 18/C472) and CONICET (grant PIP 112-201501-00433CO). ...[+]
This paper was partially supported by Universidad Nacional de La Pampa, Facultad de Ingenieria (grant Resol. No 155/14), Universidad Nacional de Rio Cuarto (grant PPI 18/C472) and CONICET (grant PIP 112-201501-00433CO). Fourth author was partially supported by Ministerio de Economia y Competitividad of Spain (grant Red de Excelencia MTM2017-90682-REDT).
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Type:
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Artículo
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