{
  "id": "1809.01909",
  "version": "v1",
  "published": "2018-09-06T10:05:13.000Z",
  "updated": "2018-09-06T10:05:13.000Z",
  "title": "A Note on $g$-Angle between Two Subspaces in Normed Spaces",
  "authors": [
    "Muhammad Nur",
    "Hendra Gunawan",
    "Mochammad Idris"
  ],
  "comment": "9 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We discuss the notion of $g$-angle between two subspaces of arbitrary dimensions in a normed space. In particular, we discuss the $g$-angle between an $m$-dimensional subspace and an $n$-dimensional subspace for $1\\le m\\le n<\\infty$. This paper is an extension of the work by Nur \\emph{et al.} \\cite{Nur}. Moreover, we present an explicit formula for the $g$-angle between an $m$-dimensional subspace and an $n$-dimensional subspace in $\\ell^{p}$ spaces, $1\\le p<\\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-06T10:05:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A03",
      "46B20",
      "51N15"
    ],
    "keywords": [
      "normed space",
      "dimensional subspace",
      "arbitrary dimensions",
      "explicit formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}