Perturbation analysis of the least squares solution in Hilbert spaces Original Research Article

Let H1, H2 be two Hilbert spaces over the same field, and let T : H1 → H2 be a bounded linear operator with closed range. We give a complete description of the perturbation analysis for the least squares solution to the operator equation Tx = y, where x set membership, variant H1, y set membership, variant H2.