Existence and integral representation of regular extensions of measures

• Autorzy: Werner Rinkewitz
• Języki publikacji: EN

Abstrakty

EN

Let ℒ be a δ-lattice in a set X, and let ν be a measure on a sub-σ-algebra of σ(ℒ). It is shown that ν extends to an ℒ-regular measure on σ(ℒ) provided ν*|ℒ is σ-smooth at ∅ and ν*(L) = inf ν*(U)|X ∖ U ∈ ℒ, Usupset L for all L ∈ ℒ. Moreover, a Choquet type representation theorem is proved for the set of all such extensions.

Kategorie tematyczne

• 46A55: Convex sets in topological linear spaces; Choquet theory
• 28C15: Set functions and measures on topological spaces (regularity of measures, etc.)
• 28A12: Contents, measures, outer measures, capacities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 87
• Numer: 2
• Strony: 235-243

Daty

wydano

2001

Twórcy

autor

Werner Rinkewitz

• Mathematisches Institut, Universität München, Theresienstraße 39, D-80333 München, Germany

Identyfikatory

DOI

10.4064/cm87-2-9