Semivariations of an additive function on a Boolean ring
Tom 117 / 2009
Colloquium Mathematicum 117 (2009), 267-279 MSC: 28B05, 28A12, 28A60. DOI: 10.4064/cm117-2-9
With an additive function $\varphi $ from a Boolean ring $A$ into a normed space two positive functions on $A$, called semivariations of $\varphi $, are associated. We characterize those functions as submeasures with some additional properties in the general case as well as in the cases where $\varphi $ is bounded or exhaustive.