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math.FA2017
Infinite Dimensional Orthogonal Preserving Quadratic Stochastic Operators
Farrukh Mukhamedov, Ahmad Fadillah Embong
In the present paper, we study infinite dimensional orthogonal preserving quadratic stochastic operators (OP QSO). A full description of OP QSOs in terms of their canonical form an…
math.FA2017
On Non-Linear Markov Operators: surjectivity vs orthogonal preserving property
Farrukh Mukhamedov, Ahmad Fadillah Embong
In the present paper, we consider nonlinear Markov operators, namely polynomial stochastic operators. We introduce a notion of orthogonal preserving polynomial stochastic operators…