The Mackey-Arens theorem for non-locally convex spaces

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J., 1952- Kakol
Let $\mathcal{R}$ be a subcategory of the category of all topological vector spaces. Let $E\in\mathcal{R}$. The problem of the existence of the finest $\mathcal{R}$-topology on $E$ with the same continuous linear functionals as the original one is discussed. Remarks concerning the Hahn-Banach Extension Property are included.

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Kakol, J., 1952-. “The Mackey-Arens theorem for non-locally convex spaces”. Collectanea Mathematica, vol.VOL 41, no. 2, pp. 129-32, https://raco.cat/index.php/CollectaneaMathematica/article/view/56847.