Moore–Penrose inverses of Gram operators on Hilbert C*-modules
Mohammad Sal Moslehian, K. Sharif, Marzieh Forough, Mahnaz Chakoshi · Studia Mathematica · 2012
Let $t$ be a regular operator between Hilbert $C^*$-modules and $t^\dagger$ be its Moore–Penrose inverse. We investigate the Moore–Penrose invertibility of the Gram operator $t^*t$. More precisely, we study some conditions ensuring that $t^{ \