### SOME PROPERTIES P-SYMMETRIC OPERATORS

#### Abstract

Let 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

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