Moore-Penrose Inverse of Linear Operators

Abstract

Before Moore introduced the generalized inverse of matrices by algebraic methods, Fredholm, Hilbert, Schmidt, Bounitzky, Hurwitz and other mathematicians had studied the generalized inverses of integral operators and differential operators. Recently, due to the development of science and technology and the need for practical problems, researchers are very interested in the study of the generalized inverses of linear operators in abstract spaces.