Moore-Penrose inverses of Gram operators on Hilbert C*-modules
M. S. Moslehian, K. Sharif, M. Forough, M. Chakoshi (2012)
Studia Mathematica
Similarity:
Let t be a regular operator between Hilbert C*-modules and 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 and . As an application, we get some results for densely defined closed operators on Hilbert C*-modules over C*-algebras of compact operators.