{
  "id": "0809.3644",
  "version": "v1",
  "published": "2008-09-22T08:04:07.000Z",
  "updated": "2008-09-22T08:04:07.000Z",
  "title": "The group of isometries of a Banach space and duality",
  "authors": [
    "Miguel Martin"
  ],
  "comment": "To appear in J. Funct. Anal",
  "journal": "J. Funct. Anal. 255 (2008), 2966--2976.",
  "doi": "10.1016/j.jfa.2008.06.004",
  "categories": [
    "math.FA"
  ],
  "abstract": "We construct an example of a real Banach space whose group of surjective isometries has no uniformly continuous one-parameter semigroups, but the group of surjective isometries of its dual contains infinitely many of them. Other examples concerning numerical index, hermitian operators and dissipative operators are also shown.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-22T08:04:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B04",
      "46B10",
      "46E15",
      "47A12"
    ],
    "keywords": [
      "real banach space",
      "surjective isometries",
      "hermitian operators",
      "examples concerning numerical index",
      "uniformly continuous one-parameter semigroups"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.3644M"
    }
  }
}