Weighted pre-orders involving the generalized Drazin inverse

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摘要

The aim of this paper is to characterize new pre-orders defined on the set of all bounded linear operators between two Banach spaces. Thus, recent results on pre-orders involving the Drazin inverse of a complex matrix are extended to a more general setting.

论文关键词:Generalized Drazin inverse,Generalized Drazin pre-order,Support idempotent

论文评审过程:Received 11 February 2015, Revised 27 July 2015, Accepted 9 August 2015, Available online 31 August 2015, Version of Record 31 August 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.08.050