Abstract
We consider the problem of composing Berezin-Toeplitz operators on the Hilbert space of Gaussian square-integrable entire functions on complex n-space, Cn. For several interesting algebras of functions on Cn, we have TWTp = T,o,p for all W,o in the algebra, where T. is the Berezin-Toeplitz operator associated with s and Woo is a twisted associative product on the algebra of functions. On the other hand, there is a C? function s for which Ti is bounded but TpTp # Tp for any 5.
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