@article {
author = {Haralampidou, Marina and Tzironis, Konstantinos},
title = {A Kakutani-Mackey-like theorem},
journal = {Advances in Operator Theory},
volume = {3},
number = {3},
pages = {507-521},
year = {2018},
publisher = {Tusi Mathematical Research Group (TMRG)},
issn = {2538-225X},
eissn = {2538-225X},
doi = {10.15352/aot.1712-1270},
abstract = {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.},
keywords = {(semi-)quasi-complemented linear space,quasi-complementor,pseudo-$H$-space,automorphically perfect pair},
url = {http://www.aot-math.org/article_56029.html},
eprint = {http://www.aot-math.org/article_56029_e54f74797c92d1f650c19dab2b77f90e.pdf}
}