Abstract
Let S be a set, S a σ-ring of subsets of S, and T a family of measurable functions from S into S, i.e., for each T in T we have T : S ’ S and T -1 A ∈ S whenever A ∈ S A nonnegative finite measure μ on S is said to be invariant (or T-invariant) if μ(T -1 A)= μ(A) for each T in T and A in S.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(2001). Application to invariant and ergodic measures. In: Phelps, R.R. (eds) Lectures on Choquet’s Theorem. Lecture Notes in Mathematics, vol 1757. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48719-0_12
Download citation
DOI: https://doi.org/10.1007/3-540-48719-0_12
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41834-4
Online ISBN: 978-3-540-48719-7
eBook Packages: Springer Book Archive
