M. de G. Caldera Cabral and V. V. Dvoeglazov Chisholm-Caianiello-Fubini Identities for S=1 Barut-Muzinich-Williams Matrices (18K, LaTeX2) ABSTRACT. The formulae of the relativistic products are found S=1 Barut-Muzinich-Williams matrices. They are analogs of the well-known Chisholm-Caianiello-Fubini identities. The obtained results can be useful in the higher-order calculations of the high-energy processes with $S=1$ particles in the framework of the 2(2S+1) Weinberg formalism, which recently attracted attention again.