{
  "id": "0805.4740",
  "version": "v4",
  "published": "2008-05-30T16:16:21.000Z",
  "updated": "2008-07-17T05:06:08.000Z",
  "title": "Lattice Homomorphisms between Sobolev Spaces",
  "authors": [
    "Markus Biegert"
  ],
  "comment": "25 pages",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We show that every vector lattice homomorphism $T$ between Sobolev spaces can be represented by a composition and a multiplication, that is, $T$ is of the form $Tu(x)=u(h(x))g(x)$ for quasi every/almost every $x$ and all $u$.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2008-07-17T05:06:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B38",
      "47B65"
    ],
    "keywords": [
      "sobolev spaces",
      "vector lattice homomorphism",
      "quasi every/almost"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.4740B"
    }
  }
}