SOME PROPERTIES P-SYMMETRIC OPERATORS

Hacene Mecheri; Ibrahim Omer Ahmed

Hacene Mecheri Mathematics Department,College of Science Jouf University P.O. Box: 2014 Sakaka , Saudi Arabia
Ibrahim Omer Ahmed Department of Mathematics, Faculty of Education, West Kordofan University Sudan

Keywords: Derivation, p-symmetricoperators, Generalized derivation

Abstract

The Algebra of linear operators on complex infinite dimensional Hilbert space into itself. In this paper we are interested to the class of operators ; which satisfy the following property implies for each: (trace class operators). Such operators are called P-symmetric. we establish some properties on the class of P-symmetric operators. We obtain a new result concerning the derivation and the closure of the range . The generalized derivation and the closure of the range.