Abstract: Let ? > 0. A continuous linear operator T : C(X) ?? C(Y ) is said to ?-preserve disjointness if ?(T f )(T g)?? ? ?, whenever f, g ? C(X) satisfy ? f ?? = ?g?? = 1 and f g ? 0. In this paper we continue our study of the minimal interval where the possible maximal distance from a norm one operator which ?-preserves disjointness to the set of weighted composition maps may lie. We provide sharp bounds for both the finite and the infinite case, which turn out to be completely different

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