I assume that C is dependent on t through some formula. If it is the only variable effecting C, then there is no need to mention t at all. Our criteria would be met simply by looking at C.
So I assume C can vary, ie C < 1, through changes in other variables. This gives rise to the question of when is a small t small enough?
Should the positive value of t be sufficiently small that C falls below one, then the operator is contracted.