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On 2- Self_adjoint Operators

Sadiq Naji Nassir Al-Nassir, Radhi I. M. Ali

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Abstract

In this paper we give a generalization of self-adjoint operators defined on a Hilbert space which we called 2-selfadjoint operators.In spite of that we established some characterizations and properties of such type of operators .Moreover we have found some of their relationships with the other classes of operators .Futhermore ,we study the spectrum of this type of operators Keywords: Operators on Hilbert space ,Self-adjoint operator,Hyponormal operator,2-

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In this paper we give a generalization of self-adjoint operators defined on a Hilbert space which we called 2-selfadjoint operators.In spite of that we established some characterizations and properties of such type of operators .Moreover we have found some of their relationships with the other classes of operators .Futhermore ,we study the spectrum of this type of operators Keywords: Operators on Hilbert space ,Self-adjoint operator,Hyponormal operator,2-

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Available abstract

In this paper we give a generalization of self-adjoint operators defined on a Hilbert space which we called 2-selfadjoint operators.In spite of that we established some characterizations and properties of such type of operators .Moreover we have found some of their relationships with the other classes of operators .Futhermore ,we study the spectrum of this type of operators Keywords: Operators on Hilbert space ,Self-adjoint operator,Hyponormal operator,2-

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

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