EN
Let I = [0, 1] be the compact topological semigroup with max multiplication and usual topology. C(I), $L^{p}(I)$, 1 ≤ p ≤ ∞, are the associated Banach algebras. The aim of the paper is to characterise $Hom_{C(I)}(L^{r}(I), L^{p}(I))$ and their preduals.