TY - GEN
T1 - Orthogonality preserving infinite dimensional quadratic stochastic operators
AU - Akln, Hasan
AU - Mukhamedov, Farrukh
N1 - Publisher Copyright:
© 2015 AIP Publishing LLC.
PY - 2015/9/18
Y1 - 2015/9/18
N2 - In the present paper, we consider a notion of orthogonal preserving nonlinear operators. We introduce π-Volterra quadratic operators finite and infinite dimensional settings. It is proved that any orthogonal preserving quadratic operator on finite dimensional simplex is π-Volterra quadratic operator. In infinite dimensional setting, we describe all π-Volterra operators in terms orthogonal preserving operators.
AB - In the present paper, we consider a notion of orthogonal preserving nonlinear operators. We introduce π-Volterra quadratic operators finite and infinite dimensional settings. It is proved that any orthogonal preserving quadratic operator on finite dimensional simplex is π-Volterra quadratic operator. In infinite dimensional setting, we describe all π-Volterra operators in terms orthogonal preserving operators.
KW - Orthogonal preserving
KW - Quadratic stochastic operator
KW - Volterra operator
UR - http://www.scopus.com/inward/record.url?scp=84984532126&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84984532126&partnerID=8YFLogxK
U2 - 10.1063/1.4930434
DO - 10.1063/1.4930434
M3 - Conference contribution
AN - SCOPUS:84984532126
T3 - AIP Conference Proceedings
BT - Advancements in Mathematical Sciences
A2 - Lukashov, Alexey
A2 - Ashyralyev, Allaberen
A2 - Malkowsky, Eberhard
A2 - Basar, Feyzi
A2 - Malkowsky, Eberhard
A2 - Ashyralyev, Allaberen
PB - American Institute of Physics Inc.
T2 - International Conference on Advancements in Mathematical Sciences, AMS 2015
Y2 - 5 November 2015 through 7 November 2015
ER -