USING FRAMES IN APPROXIMATED SOLUTION TO OPERATOR EQUATIONS

In this paper we use frames to give an approximated solution to the operator equation ÃLu = f where ÃL : H ! H¤ is a boundedly invertible and symmetric operator from a separable Hilbert space H into its dual H¤. Here we find an exact solution associated to a frame and then we seek an approximated solution in a finite dimensional subspace of H that is generated by a finite frame sequence