“…The multiplier algebra M(E) of E is the space of linear operators T verifying T(x .y) = xT(y)(x, y E E) . Endowed with the strong topology given by the family of semi-norms (Px)xEE, where p,,(T) = JITxIj(x E E), M(E) is a unital, complete, uniformly locally A-convex algebra which is not always mconvex since it is a generalization (see [1, p. 139]) of the algebra Cb(R), of [4], that is not m-convex .…”