Abstract
Using the Wg-Drazin inverses, we introduce and characterize new weighted pre-orders on the set of all bounded linear operators between two Banach spaces. As an application, we present two generalized Drazin pre-orders and an extension of the generalized Drazin order to a partial order.
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The author is supported by the Ministry of Education and Science, Republic of Serbia, Grant No. 174007.
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Mosić, D. Weighted binary relations for operators on Banach spaces. Aequat. Math. 90, 787–798 (2016). https://doi.org/10.1007/s00010-016-0413-3
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DOI: https://doi.org/10.1007/s00010-016-0413-3