k-Quasihyponormal Operators on the Hilbert- Schmidt Class
Received:December 10, 1986  
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Hou Jinchuan Shanxi Teachers University 
Wang Yongming Shanxi Teachers University 
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      An operator T acting on a Hilbert space H is called k- quasihyponormal if {T} =T*k (T*T-TT*)Tk≥0 . Let A and B be two operators on H, one can obtain an operator τ =τAB on the class l2 of all Hilbert-Schmidt operators on H in such a way that τ(X)=AXB for every X∈l2. In this note the authors show that
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