# Strong topology (polar topology)

Given a dual pair $(X,Y,\langle , \rangle)$ the strong topology $\beta(Y, X)$ on $Y$ is the polar topology defined by using the family of all sets in $X$ where the polar set in $Y$ is absorbent.
• Given a normed vector space $X$ and its continuous dual $X'$ then $\beta(X', X)$-topology on $X'$ is identical to the topology induced by the operator norm. Conversely $\beta(X, X')$-topology on $X$ is identical to the topology induced by the norm.