Semivariations of an additive function on a Boolean ring
Zbigniew Lipecki
Colloquium Mathematicae, Tome 116 (2009), p. 267-279 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:283496 
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     year = {2009},
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Zbigniew Lipecki. Semivariations of an additive function on a Boolean ring. Colloquium Mathematicae, Tome 116 (2009) pp. 267-279. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm117-2-9/