Measurable bundles of C*-dynamical systems and its applications
In the present paper we investigate -valued states and Markov operators on -algebras over . Here, is the algebra of equivalence classes of complex measurable functions on . In particular, we give representations for -valued states and Markov operators on -algebras over , respectively, as measurable...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
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Birkhuser Basel
2014
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/41307/ http://irep.iium.edu.my/41307/1/mfig-positivity%282014%29.pdf http://irep.iium.edu.my/41307/4/41307_Measurable%20bundles_WoS.pdf |
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| author | Ganiev, Inomjon Mukhamedov, Farrukh |
| author_facet | Ganiev, Inomjon Mukhamedov, Farrukh |
| author_sort | Ganiev, Inomjon |
| building | IIUM Repository |
| collection | Online Access |
| description | In the present paper we investigate -valued states and Markov operators on -algebras over . Here, is the algebra of equivalence classes of complex measurable functions on . In particular, we give representations for -valued states and Markov operators on -algebras over , respectively, as measurable bundles of states and Markov operators. Moreover, we apply the obtained representations to study certain ergodic properties of -dynamical systems over . |
| first_indexed | 2025-11-14T15:59:59Z |
| format | Article |
| id | iium-41307 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T15:59:59Z |
| publishDate | 2014 |
| publisher | Birkhuser Basel |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-413072017-09-21T02:20:32Z http://irep.iium.edu.my/41307/ Measurable bundles of C*-dynamical systems and its applications Ganiev, Inomjon Mukhamedov, Farrukh QA Mathematics In the present paper we investigate -valued states and Markov operators on -algebras over . Here, is the algebra of equivalence classes of complex measurable functions on . In particular, we give representations for -valued states and Markov operators on -algebras over , respectively, as measurable bundles of states and Markov operators. Moreover, we apply the obtained representations to study certain ergodic properties of -dynamical systems over . Birkhuser Basel 2014 Article PeerReviewed application/pdf en http://irep.iium.edu.my/41307/1/mfig-positivity%282014%29.pdf application/pdf en http://irep.iium.edu.my/41307/4/41307_Measurable%20bundles_WoS.pdf Ganiev, Inomjon and Mukhamedov, Farrukh (2014) Measurable bundles of C*-dynamical systems and its applications. Positivity, 18 (4). pp. 687-702. ISSN 1385-1292 (P), 1572-9281 (O) http://link.springer.com/article/10.1007%2Fs11117-013-0270-4 10.1007/s11117-013-0270-4 |
| spellingShingle | QA Mathematics Ganiev, Inomjon Mukhamedov, Farrukh Measurable bundles of C*-dynamical systems and its applications |
| title | Measurable bundles of C*-dynamical systems and its applications |
| title_full | Measurable bundles of C*-dynamical systems and its applications |
| title_fullStr | Measurable bundles of C*-dynamical systems and its applications |
| title_full_unstemmed | Measurable bundles of C*-dynamical systems and its applications |
| title_short | Measurable bundles of C*-dynamical systems and its applications |
| title_sort | measurable bundles of c*-dynamical systems and its applications |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/41307/ http://irep.iium.edu.my/41307/ http://irep.iium.edu.my/41307/ http://irep.iium.edu.my/41307/1/mfig-positivity%282014%29.pdf http://irep.iium.edu.my/41307/4/41307_Measurable%20bundles_WoS.pdf |