{
  "id": "1505.00770",
  "version": "v1",
  "published": "2015-05-04T19:57:50.000Z",
  "updated": "2015-05-04T19:57:50.000Z",
  "title": "Quasi-linear functionals determined by weak-2-local $^*$-derivations on $B(H)$",
  "authors": [
    "Mohsen Niazi",
    "Antonio M. Peralta"
  ],
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "We prove that, for every separable complex Hilbert space $H$, every weak-2-local $^*$-derivation on $B(H)$ is a linear $^*$-derivation. We also establish that every (non-necessarily linear nor continuous) weak-2-local derivation on a finite dimensional C$^*$-algebra is a linear derivation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-04T19:57:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quasi-linear functionals",
      "separable complex hilbert space",
      "linear derivation",
      "finite dimensional",
      "non-necessarily linear"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}