Square-Normal Operator
Mahmood Kamil Shihab *
Department of College of Science, University of Diyala, Iraq.
*Author to whom correspondence should be addressed.
Abstract
In this paper we define a new class of operators in Hilbert space called square-normal operator and we give an example to show that the square-normal operator is not normal operator. We also consider the conditions on any operator to be a square-normal operator. Then we give a condition in order to get a normal operator from a square-normal operator.
Keywords: Normal operators, numerical range of operators, self-adjoint operators, square-normal operators