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math.OA2004★ 15 cited
Essentially Reductive Hilbert Modules
Ronald G. Douglas
Consider a Hilbert space obtained as the completion of the polynomials C[z} in m-variables for which the mnonomials are orthogonal. If the commuting weighted shifts defined by the…
math.OA2004
Generalized Berezin Transform and Commutator Ideals
Kenneth R. Davidson, Ronald G. Douglas
For a quasi-free module over a function algebra , we define an analogue of the Berezin transform and relate this to the quotient of the C*-algebra it generates modulo the com…