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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

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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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