Abstract
Let B(H) denote the algebra of all bounded linear operators on a separable infinite dimensional complex Hilbert space H into itself. Let A = (A1,A2,..,An )a ndB =( B1,B2,..,Bn) be n-tuples in B(H), we define the elementary operator EA,B : B(H) �→ B(H )b yEA,B(X )= n=1 AiXBi. In this paper we initiate the study of some properties of the range of such operators.
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