To prove that the V -transform is normal, note first that it restricts to a bounded linear map V∗ on the space of trace-class operators on L2(M) by the previous part. Moreover, if S, T ∈ B(L2(M)) and S is trace-class, then tr(V∗(S)T ) = 2 ∞ tr( 1/4e−r ...
A class of Harish-Chandra modules for the q-deformed Virasoro algebra J. Algebra, 171 (2) (1995), pp. 606-630 View PDFView articleView in ScopusGoogle Scholar [32] V. Mazorchuck On simple modules over q-analog for the Virasoro algebra Hadronic J., 21 (5) (1998), pp. 541-550 Goo...