(A-n) – Potent operators on Hilbert space

Abstract

In this paper, we introduce a new class of operators on a complex Hilbert space which is called (A-n)-potent operator. An operator is called (A-n)-potent operator if where is positive integer number greater than or equal 2. We investigate some basic properties of such operators and study the relation between (A-n)-potent operators and some kinds of operators.