The strongest vector space topology is locally convex on separable linear subspaces
Volume 66 / 1997
Annales Polonici Mathematici 66 (1997), 275-282
DOI: 10.4064/ap-66-1-275-282
Abstract
Let X be a real or complex vector space equipped with the strongest vector space topology $τ_{max}$. Besides the result announced in the title we prove that X is uncountable-dimensional if and only if it is not locally pseudoconvex.
