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Orthogonal Preserving Quadratic Stochastic Operators: Infinite Dimensional Case

Farrukh MukhamedovDepartment of Mathematical Sciences, College of Science, The United Arab Emirates University, Al Ain, Abu Dhabi, 15551, UAEAhmad Fadillah EmbongDepartment of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, 25200, Kuantan, Pahang, MalaysiaChin Hee PahDepartment of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, 25200, Kuantan, Pahang, Malaysia
2017en
ABI

Abstract

In the present paper, we consider orthogonal preserving quadratic stochastic operators defined on infinite dimensional simplex. We provide a full descriptions of such kind of operators. Moreover, certain examples are given.

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