Moore-Penrose inverse of Gram operator on Hilbert C*-modules

M. S. Moslehian, K. Sharifi, M. Forough +1

Let $t$ be a regular operator between Hilbert $C^{\ast }$-modules and $t^{†}$ be its Moore-Penrose inverse. We investigate the Moore-Penrose invertibility of the Gram operator $t^{\ast }t$. More…