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Keywords: Core inverse Core partial order Partial order Moore–Penrose inverse Group inverse Spectral property a b s t r a c t The core inverse of matrix is generalized inverse which is in some sense in-between the group and Moore–Penrose inverse. In this paper a generalization of core inverse and core partial order to Hilbert space operator case is… (More)
We prove some identities related to the reverse order law for the Moore-Penrose inverse of operators on Hilbert spaces, extending some results from (Y.