  We discuss the problem of canonical quantization of a free massive spinor
field in the Schwarzschild spacetime. It is shown that a consistent procedure
of canonical quantization of the field can be carried out without taking into
account the internal region of the black hole, the canonical commutation
relations in the resulting theory hold exactly and the Hamiltonian has the
standard form. Spin sums are obtained for solutions of the Dirac equation in
the Schwarzschild spacetime.
