{
  "id": "2211.00853",
  "version": "v1",
  "published": "2022-11-02T03:49:03.000Z",
  "updated": "2022-11-02T03:49:03.000Z",
  "title": "Questions about extreme points",
  "authors": [
    "Konstantin M. Dyakonov"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA",
    "math.CA",
    "math.CV"
  ],
  "abstract": "We discuss the geometry of the unit ball -- specifically, the structure of its extreme points (if any) -- in subspaces of $L^1$ and $L^\\infty$ on the circle that are formed by functions with prescribed spectral gaps. A similar issue is considered for kernels of Toeplitz operators in $H^\\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-02T03:49:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30H05",
      "30H10",
      "42A32",
      "46A55",
      "47B35"
    ],
    "keywords": [
      "extreme points",
      "unit ball",
      "prescribed spectral gaps",
      "similar issue",
      "toeplitz operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}