  Recently, Borodin and Okounkov established a remarkable identity for Toeplitz
determinants. Two other proofs of this identity were subsequently found by
Basor and Widom, who also extended the formula to the block case. We here give
one more proof, also for the block case. This proof is based on a formula for
the inverse of a finite block Toeplitz matrix obtained in the late seventies by
Silbermann and the author.
