{
  "id": "2403.14357",
  "version": "v1",
  "published": "2024-03-21T12:37:12.000Z",
  "updated": "2024-03-21T12:37:12.000Z",
  "title": "A generalized notion of convergence of sequences of subspaces in an inner product space via ideals",
  "authors": [
    "Prasanta Malik",
    "Saikat Das"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we introduce the notion of I-convergence of sequences of k-dimensional subspaces of an inner product space, where I is an ideal of subsets of N, the set of all natural numbers and k in N. We also study some basic properties of this notion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-21T12:37:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "40A05",
      "40A35",
      "15A63",
      "46B20"
    ],
    "keywords": [
      "inner product space",
      "generalized notion",
      "k-dimensional subspaces",
      "natural numbers",
      "basic properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}