Authors:D.S. Djordjević, P.S. Stanimirović, and Y. Wei
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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On direct and converse theorems in the theory of weighted polynomial approximation