Some Properties P-Symmetric Operators

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.