شماره ركورد كنفرانس :
4338
عنوان مقاله :
The Moore-Penrose inverses of adjointable operators on Hilbert $ C^*- $ modules and applications
پديدآورندگان :
Vousough Mehdi vosough.mehdi@yahoo.com Department of Pure Mathematics, Ferdowsi University
of Mashhad, Iran;
كليدواژه :
Hilbert $ C^* , $ module , operator equation , generalized inverse
عنوان كنفرانس :
سومين سمينار ملي نظريه عملگرها و كاربردهاي آن
چكيده فارسي :
Let A be an adjointable operator on a Hilbert C module E. In this paper, we present some necessary and sufficent conditions for existence of the Moore-Penrose inverse of A when R(A) and R(A^*) are orthogonally complemented. After that, we apply our results to determine the solutions of some equations.