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In this paper, the definition of noncommutative Orlicz sequence spaces isgiven, these spaces generalize the Schatten classes Sp(H). After some relationsof trace and norm on this spaces have been researched, one give the criterionof reflexivity of these spaces. At last, as an application, we find theToeplitz operator on the Bergman space belongs to some noncommutative Orliczsequence spaces, hence the trace and the norm of operator could be computed.

Compact operators under Orlicz functions