Maximal convex filters in a locally convex space

Let E [J^~] be a locally convex space, 53 a saturated covering of E by bounded sets, and E' the topological dual of E[J7~], Let ^Q be the topology on E r of uniform convergence on sets of 3} and E" the topological dual of E'[J?%\.We assume E n has the natural topology ^Z-that of uniform convergence on the equicontinuous sets of E !