Sublinear functionals ergodicity and finite invariant measures
By introducing a sublinear functional involving infinite matrices, we establish its connection with ergodicity and measure preserving transformation. Further, we characterize the existence of a finite invariant measure by means of a condition involving the above sublinear functional.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289001006 |
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Article |
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doaj-8b28213d857a4a4ca8ba97e7ad78d5c32020-11-24T21:38:17ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112480981910.1155/S0161171289001006Sublinear functionals ergodicity and finite invariant measuresG. Das0B. K. Patel1Department of Mathematics, Utkal University, Vani Bihar, Bhubaneswar, Orissa, IndiaDepartment of Mathematics, Khallikote College, Berhampur, Orissa Pin Code 760001, IndiaBy introducing a sublinear functional involving infinite matrices, we establish its connection with ergodicity and measure preserving transformation. Further, we characterize the existence of a finite invariant measure by means of a condition involving the above sublinear functional.http://dx.doi.org/10.1155/S0161171289001006 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
G. Das B. K. Patel |
| spellingShingle |
G. Das B. K. Patel Sublinear functionals ergodicity and finite invariant measures International Journal of Mathematics and Mathematical Sciences |
| author_facet |
G. Das B. K. Patel |
| author_sort |
G. Das |
| title |
Sublinear functionals ergodicity and finite invariant measures |
| title_short |
Sublinear functionals ergodicity and finite invariant measures |
| title_full |
Sublinear functionals ergodicity and finite invariant measures |
| title_fullStr |
Sublinear functionals ergodicity and finite invariant measures |
| title_full_unstemmed |
Sublinear functionals ergodicity and finite invariant measures |
| title_sort |
sublinear functionals ergodicity and finite invariant measures |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1989-01-01 |
| description |
By introducing a sublinear functional involving infinite matrices, we establish
its connection with ergodicity and measure preserving transformation. Further,
we characterize the existence of a finite invariant measure by means of a condition involving
the above sublinear functional. |
| url |
http://dx.doi.org/10.1155/S0161171289001006 |
| work_keys_str_mv |
AT gdas sublinearfunctionalsergodicityandfiniteinvariantmeasures AT bkpatel sublinearfunctionalsergodicityandfiniteinvariantmeasures |
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