{
  "id": "0810.0831",
  "version": "v1",
  "published": "2008-10-05T15:05:01.000Z",
  "updated": "2008-10-05T15:05:01.000Z",
  "title": "Some properties of (C,E,P)-algebras : Overgneration and 0-order estimates",
  "authors": [
    "Antoine Delcroix"
  ],
  "comment": "Note, 5 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We give a new definition of the so-called overgenerated rings, which are the usual tool used to define the asymptotic structure of a (C,E,P)-algebra, written as a factor space M_{(A,E,P)}/N_{(I_{A},E,P)}. With this new definition and in the particular case of E=C^{∞}, we show that a moderate element i.e. in M_{(A,E,P)} is negligible if and only if it satisfies the C⁰-order estimate for the ideal N_{(I_{A},E,P)}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-05T15:05:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A20",
      "35A25",
      "35D05",
      "46F30",
      "46T30"
    ],
    "keywords": [
      "properties",
      "overgneration",
      "definition",
      "usual tool",
      "asymptotic structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.0831D"
    }
  }
}