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Weighted weak core inverse of operators
Mosić, Dijana ; Marovt, Janko
As solutions of some operator equations, we present two new outerinverses for bounded linear operators between two Hilbert spaces.Precisely, we introduce and characterize the weighted weak ...coreinverse and the dual weighted weak core inverse. These generalizedinverses are extensions of the weak core inverse and its dual whichhave been recently introduced for complex square matrices. Also, wegive various representations for the new inverses including opera-tor matrix representations and the most general form. Applying ourresults, we define and investigate the weak core inverse and the dualweak core inverse for Hilbert spaces operators
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