{
  "id": "math/0409119",
  "version": "v1",
  "published": "2004-09-08T00:47:24.000Z",
  "updated": "2004-09-08T00:47:24.000Z",
  "title": "Invariant subspaces of $RL^1$",
  "authors": [
    "Daniel Jupiter",
    "David Redett"
  ],
  "comment": "4 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this note we extend D. Singh and A. A. W. Mehanna's invariant subspace theorem for $RH^1$ (the real Banach space of analytic functions in $H^1$ with real Taylor coefficients) to the simply invariant subspaces of $RL^1$ (the real Banach space of functions in $L^1$ with real Fourier coefficients).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-09-08T00:47:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A15",
      "46E30"
    ],
    "keywords": [
      "real banach space",
      "mehannas invariant subspace theorem",
      "real fourier coefficients",
      "real taylor coefficients",
      "simply invariant subspaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......9119J"
    }
  }
}