It is simple to prove that this is the same condition on L as continuity, for the topologies induced from the norms.
... Lagery[?], Landricourt[?], Larzicourt[?], Laval Sur Tourbe[?], Lavannes[?], Le Baizil[?], Le Breuil[?], Le Buisson[?], Le Chatelier[?], Le Chemin[?], Le Fresne[?], Le Gault ...