Further results on the reverse order law for -inverse and -inverse of a matrix product.
Liu, Deqiang, Yang, Hu (2010)
Journal of Inequalities and Applications [electronic only]
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Liu, Deqiang, Yang, Hu (2010)
Journal of Inequalities and Applications [electronic only]
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Tian, Yongge (2004)
International Journal of Mathematics and Mathematical Sciences
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Mosić, Dijana, Djordjević, Dragan S. (2011)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Tian, Yongge, Liu, Yonghui (2007)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Baica, Malvina (1988)
International Journal of Mathematics and Mathematical Sciences
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Tamás Glavosits, Árpád Száz (2003)
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Czechoslovak Mathematical Journal
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We investigate the generalized Drazin inverse and the generalized resolvent in Banach algebras. The Laurent expansion of the generalized resolvent in Banach algebras is introduced. The Drazin index of a Banach algebra element is characterized in terms of the existence of a particularly chosen limit process. As an application, the computing of the Moore-Penrose inverse in -algebras is considered. We investigate the generalized Drazin inverse as an outer inverse with prescribed range...