A necessary and sufficient condition for the existence of the projective limit of measures with values in a locally convex space is given. A similar theorem for measures with values in different locally convex spaces (under certain conditions) is given too (in this case, the projective limit is valued in the projective limit of these spaces). Finally, a result about the projective limit of vector measures is stated.
@article{urn:eudml:doc:43607,
title = {Projective limits of vector measures.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {3},
year = {1990},
pages = {125-142},
zbl = {0718.28002},
mrnumber = {MR1081307},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:43607}
}
Fernández y Fernández-Arroyo, Fidel José; Jiménez Guerra, Pedro. Projective limits of vector measures.. Revista Matemática de la Universidad Complutense de Madrid, Tome 3 (1990) pp. 125-142. http://gdmltest.u-ga.fr/item/urn:eudml:doc:43607/