m-Isometric tensor products

Given Banach space operators S-i and T-i, i = 1, 2, we use elementary properties of the left and right multiplication operators to prove, that if the tensor products pair (S-1 circle times S-2, T-1 circle times T-2) is strictly m-isometric, i.e., Delta(m)(S1 circle times S2,T1 circle times T2)(I circle times I) = Sigma(m)(j=0)(-1)(j)(m j)(S-1 circle times S-2)(m-j)(T-1 circle times T-2)(m-j) = 0, then there exist a non-zero scalar c and positive integers m(1), m(2) <= m such that m = m(1) + m(2) - 1, (S-1, cT(1)) is strict-m(1)-isometric and (S-2, 1/cT(2)) is strict m(2)-isometric.