Remarks on the permeability of submeasures on finite algebras

Mirosław Bąk

Displaying similar documents to “Remarks on the permeability of submeasures on finite algebras”

A set function without $σ$ -additive extension having finitely additive extensions arbitrarily close to $σ$ -additivity

Jörn Lembcke (1980)

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Representations of bimeasures

Kari Ylinen (1993)

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Separately σ-additive and separately finitely additive complex functions on the Cartesian product of two algebras of sets are represented in terms of spectral measures and their finitely additive counterparts. Applications of the techniques include a bounded joint convergence theorem for bimeasure integration, characterizations of positive-definite bimeasures, and a theorem on decomposing a bimeasure into a linear combination of positive-definite ones.