C:/Documents and Settings/Catalin Ghinea/Desktop/Anale/Anale 16-23/Articol16.dvi
نویسنده
چکیده
Let H be a separable infinite dimensional complex Hilbert space, and let L(H) denote the algebra of all bounded linear operators on H. Let A,B ∈ L(H). Define the generalized derivation δA,B : L(H) 7→ L(H) by δA,B(X) = AX −XB. The class of generalized P symmetric operators is the class of all pairs of operators A,B ∈ L(H) such that [TA = BT implies A∗T = TB∗, T ∈ C1(H)] (*) (trace class operators), i.e, the pair (A,B) satisfies the FugledePutnam’s theorem in C1(H). In this paper we present new C ∗-algebras generated by the pair (A,B) satisfying (*). Other related results are also given.
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تاریخ انتشار 2009