Full paper in PDF:
$% F. J. Fernández and P. Jiménez Guerra, Projective limits of vector measures, Rev. Mat. Univ. Complut. Madrid 3 (1990), no. 2, 3, 125142.%$

Projective Limits of Vector Measures

Fidel J. FERNÁNDEZ and Pedro JIMÉNEZ GUERRA
Departamento de Matemáticas Fundamentales
Facultad de Ciencias UNED
c/ Senda del Rey, s/n C. Universitaria
28040 Madrid Spain

Received: September 26, 1989
 
ABSTRACT

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.

1980 Mathematics Subject Classification (1985 revision): 28B05.