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  • 1 University of Niš Department of Mathematics, Faculty of Science P.O. Box 224 Višegradska 33 18000 Niš Serbia
  • | 2 University of Niš Faculty of Philosophy, Department of Mathematics Department of Mathematics, Faculty of Science P.O. Box 224 Višegradska 33 18000 Niš Serbia
  • | 3 Fudan University Department of Mathematics and Laboratory of Mathematics for Nonlinear Science Shanghai 200433 P. R. China
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Abstract  

We present a unified representation theorem for the class of all outer generalized inverses of a bounded linear operator. Using this representation we develop a few specific expressions and computational procedures for the set of outer generalized inverses. The obtained result is a generalization of the well-known representation theorem of the Moore--Penrose inverse as well as a generalization of the well-known results for the Drazin inverse and the generalized inverse AT,S(2). Also, as corollaries we get corresponding results for reflexive generalized inverses.

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