  This paper provides decay bounds for Green matrices and generalized
eigenvectors of block Jacobi operators when the real part of the spectral
parameter lies in a bounded gap of the operator's essential spectrum. The case
of the spectral parameter being an eigenvalue is also considered. It is also
shown that if the matrix entries commute, then the estimates can be refined.
Finally, various examples of block Jacobi operators are given to illustrate the
results.
