On Finite-rank Stable Approximation For Moore-Penrose Inverse Of Unbounded Self-adjoint Operators

For an unbounded self-adjoint operator A and its finite-rank approximations {A_n}with resolvent consistency,the Moore-Penrose inverse sequence {A_n~+} of {A_n} is a natu-rally computational scheme of the Moore-Penrose inverse t+.This paper show that:At is continuous and strongly converged by {A_n~+} if and only if (?)||A_n~+||<+?.This is an n improvement or extension of some known results.