THE BISHOP-PHELPS-BOLLOBAS THEOREM FOR OPERATORS FROM c0 TO UNIFORMLY CONVEX SPACES

We show that the pair of Banach spaces (c(0), Y) has the Bishop-Phelps-Bollobas property when Y is uniformly convex. Further, when Y is strictly convex, if (c(0), Y) has the Bishop-Phelps-Bollobas property then Y is uniformly convex for the case of real Banach spaces. As a corollary, we show that the Bishop-Phelps-Bollobas theorem holds for bilinear forms on c(0) x l(p) (1 < p < infinity).