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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Main Authors: Mukhamedov, Farrukh, Akın, Hasan, Temir, Seyit, Abduganiev, Abduaziz
Format: Article
Language:English
Published: Elsevier 2011
Subjects:
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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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mukhamedov, Farrukh
Akın, Hasan
Temir, Seyit
Abduganiev, Abduaziz
On quantum quadratic operators of M2(C) and their dynamics
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.
format Article
author Mukhamedov, Farrukh
Akın, Hasan
Temir, Seyit
Abduganiev, Abduaziz
author_facet Mukhamedov, Farrukh
Akın, Hasan
Temir, Seyit
Abduganiev, Abduaziz
author_sort Mukhamedov, Farrukh
title On quantum quadratic operators of M2(C) and their dynamics
title_short 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_sort on quantum quadratic operators of m2(c) and their dynamics
publisher Elsevier
publishDate 2011
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
first_indexed 2023-09-18T20:09:00Z
last_indexed 2023-09-18T20:09:00Z
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