{
  "id": "0903.3921",
  "version": "v2",
  "published": "2009-03-23T18:21:39.000Z",
  "updated": "2009-03-23T22:00:50.000Z",
  "title": "A hereditarily indecomposable L_\\infty-space that solves the scalar-plus-compact problem",
  "authors": [
    "Spiros A Argyros",
    "Richard G Haydon"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We construct a hereditarily indecomposable Banach space with dual isomorphic to $\\ell_1$. Every bounded linear operator on this space has the form $\\lambda I+K$ with $\\lambda$ a scalar and $K$ compact.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-23T22:00:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B45"
    ],
    "keywords": [
      "scalar-plus-compact problem",
      "bounded linear operator",
      "hereditarily indecomposable banach space",
      "dual isomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.3921A"
    }
  }
}