{
  "id": "1609.05833",
  "version": "v1",
  "published": "2016-09-19T17:19:58.000Z",
  "updated": "2016-09-19T17:19:58.000Z",
  "title": "Riesz-Kantorovich formulas for operators on multi-wedged spaces",
  "authors": [
    "Christopher Schwanke",
    "Marten Wortel"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We introduce the notions of multi-suprema and multi-infima for vector spaces equipped with a collection of wedges, generalizing the notions of suprema and infima in ordered vector spaces. Multi-lattices are vector spaces closed under multi-suprema and multi-infima and are thus an abstraction of vector lattices. The Riesz decomposition property in the multi-wedged setting is also introduced, leading to Riesz-Kantorovich formulas for multi-suprema and multi-infima in certain spaces of operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-19T17:19:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riesz-kantorovich formulas",
      "multi-wedged spaces",
      "multi-infima",
      "multi-suprema",
      "riesz decomposition property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}