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# Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Wszystkie zeszyty

## 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

#### Streszczenie

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.

#### Autorzy

• Zbigniew LipeckiInstitute of Mathematics