{
  "id": "math/0407533",
  "version": "v1",
  "published": "2004-07-30T14:54:01.000Z",
  "updated": "2004-07-30T14:54:01.000Z",
  "title": "A note on a construction of J.F. Feinstein",
  "authors": [
    "M. J. Heath"
  ],
  "comment": "12 pages LaTeX",
  "categories": [
    "math.FA"
  ],
  "abstract": "In \\cite{F} J.F. Feinstein constructed a compact plane set $X$ such that $R(X)$ has no non-zero, bounded point derivations but is not weakly amenable. In the same paper he gave an example of a separable uniform algebra $A$ such that every point in the character space of $A$ is a peak point but $ A$ is not weakly amenable. We show that it is possible to modify the construction in order to produce examples which are also regular.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-07-30T14:54:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46J10",
      "46H20"
    ],
    "keywords": [
      "construction",
      "compact plane set",
      "bounded point derivations",
      "produce examples",
      "separable uniform algebra"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......7533H"
    }
  }
}