Let R be a subcategory of the category of all topological vector spaces. Let E be an element of R. The problem of the existence of the finest 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.
@article{urn:eudml:doc:42309, title = {The Mackey-Arens theorem for non-locally convex spaces.}, journal = {Collectanea Mathematica}, volume = {41}, year = {1990}, pages = {129-132}, zbl = {0745.46009}, mrnumber = {MR1149649}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42309} }
Kakol, Jerzy. The Mackey-Arens theorem for non-locally convex spaces.. Collectanea Mathematica, Tome 41 (1990) pp. 129-132. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42309/