Abstract

Let C 1 and C 2 are conjugation operators (both are antiliner, isometric and invoulation) on a separable complex Hilbert space H. In this paper, we present the notion of C 1 C 2- symmetric operators as: A bounded linear operator A on H is C 1 C 2-symmetric operators if C 1 A = A* C 2 (A = C 1 A*C 2). We study and discuss several properties and give an example for such kind of operators.

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