{
  "id": "1903.11651",
  "version": "v1",
  "published": "2019-03-27T19:01:08.000Z",
  "updated": "2019-03-27T19:01:08.000Z",
  "title": "Greedy approximation for biorthogonal systems in quasi-Banach spaces",
  "authors": [
    "Fernando Albiac",
    "Jose L. Ansorena",
    "Pablo M. Berna",
    "Przemyslaw Wojtaszczyk"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The general problem addressed in this work is the development of a systematic study of the thresholding greedy algorithm for general biorthogonal systems (also known as Markushevich bases) in quasi-Banach spaces from a functional-analytic point of view. We revisit the concepts of greedy, quasi-greedy, and almost greedy bases in this comprehensive framework and provide the (nontrivial) extensions of the corresponding characterizations of those types of bases. As a by-product of our work, new properties arise, and the relations amongst them are carefully discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-27T19:01:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B15",
      "41A65"
    ],
    "keywords": [
      "quasi-banach spaces",
      "greedy approximation",
      "general biorthogonal systems",
      "properties arise",
      "thresholding greedy algorithm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}