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Abstract

This paper introduced a new class of operators called (A-n)-potent operator on a complex HilbertspaceH. An operatorT∈B(H)is called (A-n)-potent operator ifATA=Tn,wherenis a positive integer greaterthan or equal to 2. Some basic properties of such operators were also investigated; the relationship between (A-n)-potent operators and some kinds of operators was also established

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