Minimal pairs of bounded closed convex sets
Volume 126 / 1997
Studia Mathematica 126 (1997), 95-99 DOI: 10.4064/sm-126-1-95-99
The existence of a minimal element in every equivalence class of pairs of bounded closed convex sets in a reflexive locally convex topological vector space is proved. An example of a non-reflexive Banach space with an equivalence class containing no minimal element is presented.