A note on diffuse random measures

Article

Summary

Let (μx) be a random measure on a measure space (Ω, Σ, μ), such that all μx are diffuse measures. Then there is a subalgebra Σ0Σ with \(\mu _{|\Sigma _o }\)non-atomic such that \((\mu _{x|\Sigma _o } )\)is absolutely μ-continuous. This is applied to product measures and bounded linear operators on L1(Ω,ν).

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • L. Weis
    • 1
  1. 1.Fachbereich MathematikUniversität KaiserslauternKaiserslautern

Personalised recommendations