TY - JOUR
T1 - On quantum quadratic operators of M2(C) and their dynamics
AU - Mukhamedov Farrukh, F.
AU - Akin, Hasan
AU - Temir, Seyit
AU - Abduganiev, Abduaziz
N1 - Funding Information:
The first named author (F.M.) thanks the Scientific and Technological Research Council of Turkey (TUBITAK) for support and Harran University for kind hospitality. Moreover, he and the forth named author (A.A.) also acknowledge Research Endowment Grant B (EDW B 0905-303) of IIUM and the MOSTI grant 01-01-08-SF0079. Finally, authors would like to thank to an anonymous referee whose useful suggestions and comments improve the content of the paper.
PY - 2011/4/15
Y1 - 2011/4/15
N2 - 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.
AB - 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.
KW - Kadison-Schwarz operator
KW - Nonlinear dynamics
KW - Quadratic operator
KW - Quantum quadratic operators
KW - Stability
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U2 - 10.1016/j.jmaa.2010.10.047
DO - 10.1016/j.jmaa.2010.10.047
M3 - Article
AN - SCOPUS:78650700018
SN - 0022-247X
VL - 376
SP - 641
EP - 655
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -