On Non-Linear Markov Operators: surjectivity vs orthogonal preserving property
Functional Analysis
2017-01-09 v1 Dynamical Systems
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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Cite
@article{arxiv.1701.01707,
title = {On Non-Linear Markov Operators: surjectivity vs orthogonal preserving property},
author = {Farrukh Mukhamedov and Ahmad Fadillah Embong},
journal= {arXiv preprint arXiv:1701.01707},
year = {2017}
}
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7 pages