Orthogonality preserving infinite dimensional quadratic stochastic operators

• Main Authors: Akin, Hasan, Mukhamedov, Farrukh
• Format: Article
• Language: English; English
• Published: American Institute of Physics 2015
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/44787/1/mf-hasan-AIP-2015.pdf; http://irep.iium.edu.my/44787/4/44787_Orthogonality%20preserving%20infinite%20dimensional%20quadratic%20stochastic%20operators_SCOPUS.pdf; http://irep.iium.edu.my/44787/; http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4930434

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...