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.
| Original language | English |
|---|---|
| Pages (from-to) | 2183-2190 |
| Number of pages | 8 |
| Journal | Linear and Multilinear Algebra |
| Volume | 66 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - Nov 2 2018 |
Keywords
- 37A30
- 47H25
- 47H60
- Polynomial stochastic operator
- orthogonal preserving
- surjective
ASJC Scopus subject areas
- Algebra and Number Theory
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