On the Moore-Penrose and the Drazin inverse of two projections on Hilbert space

Sonja Radosavljevic, Dragan S. Djordjević · KTH Publication Database DiVA (KTH Royal Institute of Technology) · 2012

For two given orthogonal, generalized or hypergeneralized projectionsP and Q on Hilbert space H, we gave their matrix representation. We also gave canonical forms of the Moore-Penrose and the Drazin inverses of their product, difference and sum. In addition, it is showed when these operators are EP and some simple correlations between mentioned operators are established.

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