2020•Iraqi Journal for Computer Science and MathematicsOpen access

(A-n) – Potent operators on Hilbert space

Laith K. Shaakir, Elaf S. Abdulwahid, Anas A. Hijab

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.

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Key concepts: Mathematics, Hilbert space, Hermitian adjoint, Operator (biology), Quasinormal operator, Compact operator on Hilbert space, Nuclear operator, Operator space