Semivariations of an additive function on a Boolean ring

Zbigniew Lipecki. "Semivariations of an additive function on a Boolean ring." Colloquium Mathematicae 117.2 (2009): 267-279. <http://eudml.org/doc/283496>.

@article{ZbigniewLipecki2009,
abstract = {With an additive function φ from a Boolean ring A into a normed space two positive functions on A, called semivariations of φ, are associated. We characterize those functions as submeasures with some additional properties in the general case as well as in the cases where φ is bounded or exhaustive.},
author = {Zbigniew Lipecki},
journal = {Colloquium Mathematicae},
keywords = {semivariation; finitely additive measure; submeasure; multiply subadditive; normed spaces},
language = {eng},
number = {2},
pages = {267-279},
title = {Semivariations of an additive function on a Boolean ring},
url = {http://eudml.org/doc/283496},
volume = {117},
year = {2009},
}

TY - JOUR
AU - Zbigniew Lipecki
TI - Semivariations of an additive function on a Boolean ring
JO - Colloquium Mathematicae
PY - 2009
VL - 117
IS - 2
SP - 267
EP - 279
AB - With an additive function φ from a Boolean ring A into a normed space two positive functions on A, called semivariations of φ, are associated. We characterize those functions as submeasures with some additional properties in the general case as well as in the cases where φ is bounded or exhaustive.
LA - eng
KW - semivariation; finitely additive measure; submeasure; multiply subadditive; normed spaces
UR - http://eudml.org/doc/283496
ER -