Orthogonality preserving infinite dimensional quadratic stochastic operators

Akin, Hasan and Mukhamedov, Farrukh (2015) Orthogonality preserving infinite dimensional quadratic stochastic operators. AIP Conference Proceedings, 1676. 020008-1. ISSN 0094-243X E-ISSN 1551-7616

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	4467/44787
Uncontrolled Keywords:	Quadratic stochastic operator, Volterra operator, Orthogonal preserving
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	30 Sep 2015 16:18
Last Modified:	06 Mar 2018 11:49
URI:	http://irep.iium.edu.my/id/eprint/44787

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