Displaying similar documents to “On extension of a given finitely additive field-valued measure on a finitely additive Boolean tribe to another one more ample.”

Semivariations of an additive function on a Boolean ring

Zbigniew Lipecki (2009)

Colloquium Mathematicae

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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.