A note on partial orders of Hartwig, Mitsch, and Šemrl
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摘要
We show that on Rickart rings the partial orders of Mitsch and Šemrl are equivalent. In particular, these orders are equivalent on B(H), the algebra of all bounded linear operators on a Hilbert space H.
论文关键词:Rickart ring,Minus partial order,Bounded linear operator
论文评审过程:Received 16 March 2014, Revised 13 August 2015, Accepted 16 August 2015, Available online 7 September 2015, Version of Record 7 September 2015.
论文官网地址:https://doi.org/10.1016/j.amc.2015.08.066