{
  "id": "1407.5259",
  "version": "v1",
  "published": "2014-07-20T09:24:50.000Z",
  "updated": "2014-07-20T09:24:50.000Z",
  "title": "Contractibility of ultrapower of Frechet algebras",
  "authors": [
    "E. Feizi",
    "J. Soleymani"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The aim of this article is to study a number of relationship between Frechet algebra $\\mathcal{A}$ and its ultrapower $(\\mathcal{A})_{\\mathcal{U}}$. We give a characterization in some aspects such as locally bounded approximate identity. We consider the notion of contractibility of ultrapower of Frechet algebra, and we show that if $(\\mathcal{A})_{\\mathcal{U}}$ has approximation property with good ultrafilter $\\mathcal{U}$ then $\\mathcal{A}$ is contractible if and only if $(\\mathcal{A})_{\\mathcal{U}}$ is contractible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-20T09:24:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "frechet algebra",
      "ultrapower",
      "contractibility",
      "locally bounded approximate identity",
      "approximation property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.5259F"
    }
  }
}