Density in the space of topological measures

• Autorzy: S. V. Butler
• Języki publikacji: EN

Abstrakty

EN

Topological measures (formerly "quasi-measures") are set functions that generalize measures and correspond to certain non-linear functionals on the space of continuous functions. The goal of this paper is to consider relationships between various families of topological measures on a given space. In particular, we prove density theorems involving classes of simple, representable, extreme topological measures and measures, hence giving a way of approximating various topological measures by members of different classes.

Kategorie tematyczne

• 41A65: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
• 28C15: Set functions and measures on topological spaces (regularity of measures, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 174
• Numer: 3
• Strony: 239-251

Daty

wydano

2002

Twórcy

autor

S. V. Butler

• Department of Mathematics, University of Illinois at Urbana-Champaign, 273 Altgeld Hall, 1409 West Green Street, Urbana, IL 61801, U.S.A.

Identyfikatory

DOI

10.4064/fm174-3-4