Abstract

In this paper we investigate general representations of various classes of generalized inverses for bounded operators over Hilbert and Banach spaces. These representations are expressed by means of the full-rank decomposition of bounded operators and adequately selected operators.

Keywords: Full-rank factorization, reflexive generalized inverses, Moore-Penrose inverse, Drazin inverse.

MSC: 47A05, 15A09

Pages:  69$-$76     

Volume  51 ,  Issue  3$-$4 ,  1999