Lower and Upper Bounds for the Perturbation of Linear Operators Equations
Let X and Y be Banach spaces, and let T : X --> Y be a bounded linear operator with closed range. In this paper, we give optimal lower and upper bounds for the perturbation of consistent operator equations Tx = y, and more general least-squares problems in Hilbert spaces. (C) 2004 Elsevier Ltd. All rights reserved.
Applied Mathematics Letters
(2004). Lower and Upper Bounds for the Perturbation of Linear Operators Equations. Applied Mathematics Letters, 17(1), 55-58.
Available at: http://aquila.usm.edu/fac_pubs/3424