{
  "id": "1307.1635",
  "version": "v1",
  "published": "2013-07-05T15:12:01.000Z",
  "updated": "2013-07-05T15:12:01.000Z",
  "title": "Fredholm theory for band-dominated and related operators: a survey",
  "authors": [
    "Markus Seidel"
  ],
  "comment": "25 pages",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "This paper presents the Fredholm theory on l^p-spaces for band-dominated operators and important subclasses, such as operators in the Wiener algebra. It particularly closes several gaps in the previously known results for the case p=\\infty and addresses the open questions raised in a paper by Chandler-Wilde and Lindner. The main tools are provided by the limit operator method and an algebraic framework for the description and adaption of Fredholmness and convergence. A comprehensive overview of this approach is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-05T15:12:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A53",
      "47B07",
      "46E40",
      "47B36",
      "47L80"
    ],
    "keywords": [
      "fredholm theory",
      "related operators",
      "limit operator method",
      "algebraic framework"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1635S"
    }
  }
}