A Simple Proof of the Daniel-Stone Representation Theorem

DOI10.2307/2975580zbMath0517.28007OpenAlexW2077924129MaRDI QIDQ3665381

Jürgen Kindler

Publication date: 1983

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2975580

zbMATH Keywords

semiringDaniell-Stone representation theoremCaratheodory extension procedureconstruction of a representing measure for a Daniell functional on a Stonian vector latticestrips between functions

Mathematics Subject Classification ID

Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (4)

Benchmarking real-valued acts ⋮ Characteristic functionals of probabilistic measures in DS-groups and related topics ⋮ Unnamed Item ⋮ Uniform logical new proofs for the Daniell-Stone theorem and the Riesz representation theorem

This page was built for publication: A Simple Proof of the Daniel-Stone Representation Theorem