The talk presented a survey of results most of which have been obtained over the last several years in collaboration with M.Florencio and P.J.Paúl (Seville). The results concern the question of barrelledness of locally convex spaces equipped with suitable Boolean algebras or rings of projections. They are particularly applicable to various spaces of measurable vector valued functions. Some of the results are provided with proofs that are much simpler than the original ones.
@article{urn:eudml:doc:40729,
title = {Barrelled spaces with Boolean rings of projections.},
journal = {Collectanea Mathematica},
volume = {48},
year = {1997},
pages = {467-478},
zbl = {0903.46003},
mrnumber = {MR1602568},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40729}
}
Drewnowski, Lech. Barrelled spaces with Boolean rings of projections.. Collectanea Mathematica, Tome 48 (1997) pp. 467-478. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40729/