Abstract
In the present paper, we consider cubic stochastic operators, and prove that the surjectivity of such operators is equivalent to their orthogonal-preserving property. In the last section we provide a full description of orthogonal-preserving (respectively, surjective) cubic stochastic operators on the 2( dimensional simplex.
| Original language | English |
|---|---|
| Pages (from-to) | 490-501 |
| Number of pages | 12 |
| Journal | Annals of Functional Analysis |
| Volume | 8 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2017 |
Keywords
- Cubic stochastic operator
- Orthogonal-preserving
- Surjective
ASJC Scopus subject areas
- Analysis
- Anatomy
- Algebra and Number Theory
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