On quantum quadratic operators of M2(C) and their dynamics
In the present paper we study nonlinear dynamics of quantum quadratic operators (q.q.o.) acting on the algebra of 2 ×2 matrices M2(C). First, we describe q.q.o. with Haar state as well as quadratic operators with the Kadison–Schwarz property. By means of such a description we provide an example of...
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| Format: | Article |
| Language: | English |
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Elsevier
2011
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| Online Access: | http://irep.iium.edu.my/1609/ http://irep.iium.edu.my/1609/1/mfhastaa-jmaa%282011%29.pdf |
| _version_ | 1848775883422171136 |
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| author | Mukhamedov, Farrukh Akın, Hasan Temir, Seyit Abduganiev, Abduaziz |
| author_facet | Mukhamedov, Farrukh Akın, Hasan Temir, Seyit Abduganiev, Abduaziz |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | In the present paper we study nonlinear dynamics of quantum quadratic operators (q.q.o.) acting on the algebra of 2 ×2 matrices M2(C). First, we describe q.q.o. with Haar state
as well as quadratic operators with the Kadison–Schwarz property. By means of such a description we provide an example of q.q.o. which is not the Kadison–Schwarz operator.
Then we study stability of dynamics of q.q.o. |
| first_indexed | 2025-11-14T14:21:16Z |
| format | Article |
| id | iium-1609 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:16Z |
| publishDate | 2011 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-16092013-07-03T01:45:19Z http://irep.iium.edu.my/1609/ On quantum quadratic operators of M2(C) and their dynamics Mukhamedov, Farrukh Akın, Hasan Temir, Seyit Abduganiev, Abduaziz QA Mathematics In the present paper we study nonlinear dynamics of quantum quadratic operators (q.q.o.) acting on the algebra of 2 ×2 matrices M2(C). First, we describe q.q.o. with Haar state as well as quadratic operators with the Kadison–Schwarz property. By means of such a description we provide an example of q.q.o. which is not the Kadison–Schwarz operator. Then we study stability of dynamics of q.q.o. Elsevier 2011-04-15 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1609/1/mfhastaa-jmaa%282011%29.pdf Mukhamedov, Farrukh and Akın, Hasan and Temir, Seyit and Abduganiev, Abduaziz (2011) On quantum quadratic operators of M2(C) and their dynamics. Journal of Mathematical Analysis and Applications, 376 (2). pp. 641-655. ISSN 0022 - 247X http://www.elsevier.com/wps/find/journaldescription.cws_home/622886/description#description 10.1016/j.jmaa.2010.10.047 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Akın, Hasan Temir, Seyit Abduganiev, Abduaziz On quantum quadratic operators of M2(C) and their dynamics |
| title | On quantum quadratic operators of M2(C) and their dynamics |
| title_full | On quantum quadratic operators of M2(C) and their dynamics |
| title_fullStr | On quantum quadratic operators of M2(C) and their dynamics |
| title_full_unstemmed | On quantum quadratic operators of M2(C) and their dynamics |
| title_short | On quantum quadratic operators of M2(C) and their dynamics |
| title_sort | on quantum quadratic operators of m2(c) and their dynamics |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/1609/ http://irep.iium.edu.my/1609/ http://irep.iium.edu.my/1609/ http://irep.iium.edu.my/1609/1/mfhastaa-jmaa%282011%29.pdf |