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Title: Skew N-Normal Operators
Authors: Laith K. Shaakir ; Elaf S. Abdulwahid
DOI:
Aff: Department of Mathematics, college of computer science and Mathematics, University of Tikrit, Tikrit, Iraq
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Keywords: N-Normal Operators; Quasi-Normal Operators; Normal Operators
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Abstract:In this paper, we introduce a new class of operators acting on a complex Hilbert space H which is called skew n-normal operators. An operator T?B(H) is called skew nnormal operator if (T^n T^* )T=T(T^* T^n), where n is positive integer number greater than 1 and T^* is the adjoint of the operator T., We investigate some basic properties of such operators and study the relation among the skew n-normal operators and some other operators.