The best generalised inverse of the linear operator in normed linear space (Q865442)

Let \(X\), \(Y\) be normed linear spaces and let \(A\) be a bounded linear operator from \(X\) into \(Y\). There is given a construction of a best approximate solution of the equation \(Ax= y\) in the case when \(A\) is not invertible, \(y\in Y\). This solution, in general, does not depend linearly on \(y\).