Projective limits of vector measures.

Fidel José Fernández y Fernández-Arroyo; Pedro Jiménez Guerra

Revista Matemática de la Universidad Complutense de Madrid (1990)

  • Volume: 3, Issue: 2-3, page 125-142
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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Fernández y Fernández-Arroyo, Fidel José, and Jiménez Guerra, Pedro. "Projective limits of vector measures.." Revista Matemática de la Universidad Complutense de Madrid 3.2-3 (1990): 125-142. <http://eudml.org/doc/43607>.

@article{FernándezyFernández1990,
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.},
author = {Fernández y Fernández-Arroyo, Fidel José, Jiménez Guerra, Pedro},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Medidas; Medidas vectoriales; semivariation; directed set; projective limit; projective system of Radon measures},
language = {eng},
number = {2-3},
pages = {125-142},
title = {Projective limits of vector measures.},
url = {http://eudml.org/doc/43607},
volume = {3},
year = {1990},
}

TY - JOUR
AU - Fernández y Fernández-Arroyo, Fidel José
AU - Jiménez Guerra, Pedro
TI - Projective limits of vector measures.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1990
VL - 3
IS - 2-3
SP - 125
EP - 142
AB - 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.
LA - eng
KW - Medidas; Medidas vectoriales; semivariation; directed set; projective limit; projective system of Radon measures
UR - http://eudml.org/doc/43607
ER -

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