Structure of measures on topological spaces.

María, José L. de, and Rodríguez Salinas, Baltasar. "Structure of measures on topological spaces.." Revista Matemática de la Universidad Complutense de Madrid 2.SUPL. (1989): 103-118. <http://eudml.org/doc/43409>.

@article{María1989,
abstract = {The Radon spaces of type (T), i.e., topological spaces for which every finite Borel measure on Omega is T-additive and T-regular are characterized. The class of these spaces is very wide and in particular it contains the Radon spaces. We extend the results of Marczewski an Sikorski to the sygma-metrizable spaces and to the subsets of the Banach spaces endowed with the weak topology. Finally, the completely additive families of measurable subsets related with the works of Hansell, Koumoullis, and Fremlin are studied.},
author = {María, José L. de, Rodríguez Salinas, Baltasar},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Espacio topológico; Medidas; Radon measure; Fock space; Ulam measure; Spanish set; regularity; perfect measure; Radon spaces; topological spaces; Borel measure; - metrizable spaces; completely additive families of measurable subsets},
language = {eng},
number = {SUPL.},
pages = {103-118},
title = {Structure of measures on topological spaces.},
url = {http://eudml.org/doc/43409},
volume = {2},
year = {1989},
}

TY - JOUR
AU - María, José L. de
AU - Rodríguez Salinas, Baltasar
TI - Structure of measures on topological spaces.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1989
VL - 2
IS - SUPL.
SP - 103
EP - 118
AB - The Radon spaces of type (T), i.e., topological spaces for which every finite Borel measure on Omega is T-additive and T-regular are characterized. The class of these spaces is very wide and in particular it contains the Radon spaces. We extend the results of Marczewski an Sikorski to the sygma-metrizable spaces and to the subsets of the Banach spaces endowed with the weak topology. Finally, the completely additive families of measurable subsets related with the works of Hansell, Koumoullis, and Fremlin are studied.
LA - eng
KW - Espacio topológico; Medidas; Radon measure; Fock space; Ulam measure; Spanish set; regularity; perfect measure; Radon spaces; topological spaces; Borel measure; - metrizable spaces; completely additive families of measurable subsets
UR - http://eudml.org/doc/43409
ER -