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SOME PROPERTIES P-SYMMETRIC OPERATORS

Hacene Mecheri, Ibrahim Omer Ahmed

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


Keywords


Derivation, p-symmetricoperators, Generalized derivation

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References


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