Geodesic
Semivariations of an additive function on a Boolean ring
Zbigniew Lipecki1
1 Institute of Mathematics Polish Academy of Sciences Wrocław Branch Kopernika 18 51-617 Wrocław, Poland
Colloquium Mathematicum, Tome 117 (2009) no. 2, pp. 267-279.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm117-2-9
Keywords: additive function varphi boolean ring normed space positive functions called semivariations varphi associated characterize those functions submeasures additional properties general cases where varphi bounded exhaustive

Zbigniew Lipecki 1

1 Institute of Mathematics Polish Academy of Sciences Wrocław Branch Kopernika 18 51-617 Wrocław, Poland 
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Zbigniew Lipecki. Semivariations of an additive function
 on a Boolean ring. Colloquium Mathematicum, Tome 117 (2009) no. 2, pp. 267-279. doi : 10.4064/cm117-2-9. http://geodesic.mathdoc.fr/articles/10.4064/cm117-2-9/

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