An Extension of a result of Csiszar
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 {a...
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171286000042 |
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| _version_ | 1832552661373681664 |
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| author | P. B. Cerrito |
| author_facet | P. B. Cerrito |
| author_sort | P. B. Cerrito |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a301d9882e094ae2af9cd47fc3de4876 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a301d9882e094ae2af9cd47fc3de48762025-02-03T05:58:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-0191293710.1155/S0161171286000042An Extension of a result of CsiszarP. B. Cerrito0Department of Mathematics, University of South Florida, Tampa 33620, Florida, USAWe 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.http://dx.doi.org/10.1155/S0161171286000042topological semigroupinfinite convolutions. |
| spellingShingle | P. B. Cerrito An Extension of a result of Csiszar International Journal of Mathematics and Mathematical Sciences topological semigroup infinite convolutions. |
| title | An Extension of a result of Csiszar |
| title_full | An Extension of a result of Csiszar |
| title_fullStr | An Extension of a result of Csiszar |
| title_full_unstemmed | An Extension of a result of Csiszar |
| title_short | An Extension of a result of Csiszar |
| title_sort | extension of a result of csiszar |
| topic | topological semigroup infinite convolutions. |
| url | http://dx.doi.org/10.1155/S0161171286000042 |
| work_keys_str_mv | AT pbcerrito anextensionofaresultofcsiszar AT pbcerrito extensionofaresultofcsiszar |