%0 Journal Article
%T A Kakutani-Mackey-like theorem
%J Advances in Operator Theory
%I Tusi Mathematical Research Group (TMRG)
%Z 2538-225X
%A Haralampidou, Marina
%A Tzironis, Konstantinos
%D 2018
%\ 07/01/2018
%V 3
%N 3
%P 507-521
%! A Kakutani-Mackey-like theorem
%K (semi-)quasi-complemented linear space
%K quasi-complementor
%K pseudo-$H$-space
%K automorphically perfect pair
%R 10.15352/aot.1712-1270
%X We give a partial extension of a Kakutani-Mackey theorem for quasi-complemented vector spaces. This can be applied in the representation theory of certain complemented (non-normed) topological algebras. The existence of continuous linear maps, in the context of quasi-complemented vector spaces, is a very important issue in their study. Relative to this, we prove that every Hausdorff quasi-complemented locally convex space has continuous linear maps, under which a certain quasi-complemented locally convex space, turns to be pre-Hilbert.
%U http://www.aot-math.org/article_56029_e54f74797c92d1f650c19dab2b77f90e.pdf