  Invited lecture at the XIV-th workshop on geometric methods in physics,
Bialowieza, Poland, July 9-15, 1995. In this lecture results are reviewed
obtained by the author together with Martin Bordemann and Eckhard Meinrenken on
the Berezin-Toeplitz quantization of compact Kaehler manifolds. Using global
Toeplitz operators, approximation results for the quantum operators are shown.
From them it follows that the quantum operators have the correct classical
limit. A star product deformation of the Poisson algebra is constructed.
