{
  "id": "2004.05496",
  "version": "v1",
  "published": "2020-04-11T22:04:56.000Z",
  "updated": "2020-04-11T22:04:56.000Z",
  "title": "Various notions of norm-attainability in normed spaces",
  "authors": [
    "Benard Okelo"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $H$ be a reflexive, dense, separable, infinite dimensional complex Hilbert space and let $B(H)$ be the algebra of all bounded linear operators on $H$. In this paper, we carry out characterizations of norm-attainable operators in normed spaces. We give conditions for norm-attainability of linear functionals in Banach spaces, non-power operators on $H$ and elementary operators. Lastly, we characterize a new notion of norm-attainability for power operators in normed spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-11T22:04:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "normed spaces",
      "norm-attainability",
      "infinite dimensional complex hilbert space",
      "elementary operators",
      "non-power operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}