Abstract. In this paper results are proved concerning the form of generalized inverses or Moore-Penrose inverses of operators in certain algebras of bounded operators. A number of applications to operator theory are given.

AMS Subject Classification (1991): 47A53, 47C05, 47D30

Keyword(s): integral operator, Fredholm inverse, g-inverse, Moore-Penrose inverse

Received July 5, 2001. (Registered under 2900/2009.)