Sequential convergence to invariance in $BC(G)$
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- by Robert Sine PDF
- Proc. Amer. Math. Soc. 55 (1976), 313-317 Request permission
Abstract:
In this note it is shown that weak and strong convergence to invariance are equivalent for a sequence of probabilities acting on $BC(G)$ of a noncompact locally compact group. This result was known for $G = Z$. For other generalizations of the bounded sequences on $Z$, say $BUC(G)$, the result does not hold.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 55 (1976), 313-317
- MSC: Primary 43A07; Secondary 28A65
- DOI: https://doi.org/10.1090/S0002-9939-1976-0412733-8
- MathSciNet review: 0412733