On non-linear Markov operators: surjectivity vs orthogonal preserving property |
| |
| Authors: | Farrukh Mukhamedov Ahmad Fadillah Embong |
| |
| Institution: | 1. Department of Mathematical Sciences, College of Science, The United Arab Emirates University , Al Ain, UAE.;2. Department of Computational &3. Theoretical Sciences, Faculty of Science, International Islamic University Malaysia , Kuantan, Malaysia. |
| |
| Abstract: | In the present paper, we consider non-linear 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 non-linear Markov operators is equivalent to their orthogonal preserving property. |
| |
| Keywords: | Polynomial stochastic operator surjective orthogonal preserving |
|
|
