Further results on integral representations

Flemming Topsøe

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A unified approach to Riesz type representation theorems

David Pollard, Flemming Topsøe (1975)

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

Jörn Lembcke (1980)

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Extensions of set functions.

Sergei V. Ovchinnikov, Jean Claude Falmagne (2003)

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We establish a necessary and sufficient condition for a function defined on a subset of an algebra of sets to be extendable to a positive additive function on the algebra. It is algo shown that this condition is necessary and sufficient for a regular function defined on a regular subset of the Borel algebra of subsets of a given compact Hausdorff space to be extendable to a measure.