{
  "id": "1701.01707",
  "version": "v1",
  "published": "2017-01-06T17:43:24.000Z",
  "updated": "2017-01-06T17:43:24.000Z",
  "title": "On Non-Linear Markov Operators: surjectivity vs orthogonal preserving property",
  "authors": [
    "Farrukh Mukhamedov",
    "Ahmad Fadillah Embong"
  ],
  "comment": "7 pages",
  "categories": [
    "math.FA",
    "math.DS"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-06T17:43:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H25",
      "37A30",
      "47H60"
    ],
    "keywords": [
      "orthogonal preserving property",
      "non-linear markov operators",
      "nonlinear markov operators",
      "surjectivity",
      "orthogonal preserving polynomial stochastic operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}