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.
- Polynomial stochastic operator
- orthogonal preserving
ASJC Scopus subject areas
- Algebra and Number Theory