Locally convex spaces with hemicompact weak* dual

Evgenii Reznichenko

For a locally convex space $L$ let $L_{\sigma }^{\prime }$ denote its dual endowed with the weak* topology $\sigma (L^{\prime },L)$. We prove that $L_{\sigma }^{\prime }$ is hemicompact if and only if $L$ with the Mackey topology…