Abstract
Throughout this note, let X and Y be real Hilbert spaces, A: X → Y a bounded linear operator with non-closed range R(A). By A† we denote the Moore-Penrose inverse of A, which is a closed, but unbounded linear operator defined on D(A†) = R(A) + R(A)⊥. For properties of A† we use see [11] or [5].
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Engl, H.W. (1983). On the Convergence of Regularization Methods for Ill-Posed Linear Operator Equations. In: Hämmerlin, G., Hoffmann, KH. (eds) Improperly Posed Problems and Their Numerical Treatment. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 63. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5460-3_6
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DOI: https://doi.org/10.1007/978-3-0348-5460-3_6
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