Some orders for operators on Hilbert spaces

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摘要

In this paper we present some interesting properties of the diamond, (left, right) star and sharp orders for operators on Hilbert spaces.

论文关键词:Diamond order,Minus partial order,Star partial order,Sharp partial order,Group inverse,Moore–Penrose inverse

论文评审过程:Received 18 June 2015, Revised 17 November 2015, Accepted 22 November 2015, Available online 22 December 2015, Version of Record 22 December 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.11.059