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arXiv · 1701.01707

On Non-Linear Markov Operators: surjectivity vs orthogonal preserving property

Farrukh Mukhamedov·Ahmad Fadillah Embong
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Abstract

In the present paper, we consider nonlinear Markov operators, namely polynomial stochastic operators. We introduce a notion of orthogonal preserving polynomial stochastic operators. The purpose of this study is to show that surjectivity of nonlinear Markov operators is equivalent to their orthogonal preserving property.

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Farrukh Mukhamedov, Ahmad Fadillah Embong. 2017-01-06. On Non-Linear Markov Operators: surjectivity vs orthogonal preserving property. https://arxiv.org/abs/1701.01707

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