{
  "id": "1707.04414",
  "version": "v1",
  "published": "2017-07-14T08:38:08.000Z",
  "updated": "2017-07-14T08:38:08.000Z",
  "title": "A formula for $g$-angle between two subspaces of a normed space",
  "authors": [
    "Muhammad Nur",
    "Hendra Gunawan",
    "Oki Neswan"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We develop the notion of $g$-angle between two subspaces of a normed space. In particular, we discuss the $g$-angle between a $1$-dimensional subspace and a $t$-dimensional subspace for $t\\geq 1$ and the $g$-angle between a $2$-dimensional subspace and a $t$-dimensional subspace for $t\\geq 2$. Moreover, we present an explicit formula for the $g$-angle between two subspaces of $\\ell^{p}$ spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-14T08:38:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A03",
      "46B20",
      "51N15"
    ],
    "keywords": [
      "normed space",
      "dimensional subspace"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}