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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
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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| _version_ | 1832564276195229696 |
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| author | G. Das B. K. Patel |
| author_facet | G. Das B. K. Patel |
| author_sort | G. Das |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-8b28213d857a4a4ca8ba97e7ad78d5c3 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1989-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8b28213d857a4a4ca8ba97e7ad78d5c32025-02-03T01:11:23ZengWileyInternational 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 |
| spellingShingle | G. Das B. K. Patel Sublinear functionals ergodicity and finite invariant measures International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | Sublinear functionals ergodicity and finite invariant measures |
| title_sort | sublinear functionals ergodicity and finite invariant measures |
| url | http://dx.doi.org/10.1155/S0161171289001006 |
| work_keys_str_mv | AT gdas sublinearfunctionalsergodicityandfiniteinvariantmeasures AT bkpatel sublinearfunctionalsergodicityandfiniteinvariantmeasures |