Cylindrical measures and $p$-summing operators

Let $(E,t)$ be a locally convex space. In terms of $p$-summing operators and tensor products we obtain sufficient conditions for the existence of a topology $\tau$ on $E$ such that the continuity of any linear operator $\Phi\colon(E,\tau)\to S(\Omega)$ is equivalent to $\mathscr E$-tightness (i. e. cylindrical concentration on the equicontinuous sets of $(E,t)'$) of corresponding cylindrical measure $X$ on $(E,t)'$.