On non-linear Markov operators: surjectivity vs orthogonal preserving property
| Autor: | Farrukh Mukhamedov, Ahmad Fadillah Embong |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Polynomial Algebra and Number Theory Property (philosophy) Markov chain 010102 general mathematics MathematicsofComputing_NUMERICALANALYSIS Dynamical Systems (math.DS) 47H25 37A30 47H60 010103 numerical & computational mathematics 01 natural sciences Functional Analysis (math.FA) Mathematics - Functional Analysis Surjective function Nonlinear system FOS: Mathematics Mathematics - Dynamical Systems 0101 mathematics Mathematics |
| Zdroj: | Linear and Multilinear Algebra. 66:2183-2190 |
| ISSN: | 1563-5139 0308-1087 |
| DOI: | 10.1080/03081087.2017.1389849 |
| Popis: | 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. 7 pages |
| Databáze: | OpenAIRE |
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