Extensions of set functions.

Ovchinnikov, Sergei V., and Falmagne, Jean Claude. "Extensions of set functions.." Mathware and Soft Computing 10.1 (2003): 5-16. <http://eudml.org/doc/39246>.

@article{Ovchinnikov2003,
abstract = {We establish a necessary and sufficient condition for a function defined on a subset of an algebra of sets to be extendable to a positive additive function on the algebra. It is algo shown that this condition is necessary and sufficient for a regular function defined on a regular subset of the Borel algebra of subsets of a given compact Hausdorff space to be extendable to a measure.},
author = {Ovchinnikov, Sergei V., Falmagne, Jean Claude},
journal = {Mathware and Soft Computing},
keywords = {Teoría de la medida; Conjuntos medibles; positive additive set functions; extension; algebra of sets; Borel algebra},
language = {eng},
number = {1},
pages = {5-16},
title = {Extensions of set functions.},
url = {http://eudml.org/doc/39246},
volume = {10},
year = {2003},
}

TY - JOUR
AU - Ovchinnikov, Sergei V.
AU - Falmagne, Jean Claude
TI - Extensions of set functions.
JO - Mathware and Soft Computing
PY - 2003
VL - 10
IS - 1
SP - 5
EP - 16
AB - We establish a necessary and sufficient condition for a function defined on a subset of an algebra of sets to be extendable to a positive additive function on the algebra. It is algo shown that this condition is necessary and sufficient for a regular function defined on a regular subset of the Borel algebra of subsets of a given compact Hausdorff space to be extendable to a measure.
LA - eng
KW - Teoría de la medida; Conjuntos medibles; positive additive set functions; extension; algebra of sets; Borel algebra
UR - http://eudml.org/doc/39246
ER -