Remark on the core-EP pre-order of Hilbert space operators
Xiaoli Deng, Chujian Lin, Chunyuan Deng · Linear and Multilinear Algebra · 2019
In this note, we give the necessary and sufficient conditions for which the core-EP relation A≤◯dB holds. The results improve the recent results by D. Mosić (Core-EP pre-order of Hilbert space operators, Quaestiones Mathematicae 41 (2018), no. 5, 585–600).