Abstract regularity of additive and $sigma$-additive group-valued set functions

Thiruvaiyaru V. Panchapagesan

Displaying similar documents to “Abstract regularity of additive and $s i g m a$ -additive group-valued set functions”

Extensions of set functions.

Sergei V. Ovchinnikov, Jean Claude Falmagne (2003)

Mathware and Soft Computing

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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.