Document Type
Article
Publication Date
1986
Digital Object Identifier (DOI)
https://doi.org/10.1155/S0161171286000042
Abstract
We extend the results of Csiszar (Z. Wahr. 5(1966) 279-295) to a topological semigroup S. Let μ be a measure defined on S. We consider the value of α=supKcompactlimn→∞supx∈Sμn(Kx−1). First. we show that the value of α is either zero or one. If α=1, we show that there exists a sequence of elements {an} In S such that μn∗δan converges vaguely to a probability measure where δ denotes point mass. In particular, we apply the results to inverse and matrix semigroups.
Rights Information
This work is licensed under a Creative Commons Attribution 3.0 License.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
International Journal of Mathematics and Mathematical Sciences, v. 8, art. 135913
Scholar Commons Citation
Cerrito, P. B., "An Extension of a Result of Csiszar" (1986). Mathematics and Statistics Faculty Publications. 72.
https://digitalcommons.usf.edu/mth_facpub/72
