{
  "id": "2310.14789",
  "version": "v1",
  "published": "2023-10-23T10:49:37.000Z",
  "updated": "2023-10-23T10:49:37.000Z",
  "title": "Unital positive Schur multipliers on $S_n^p$ with a completely isometric dilation",
  "authors": [
    "Charles Duquet"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $1<p\\not=2<\\infty$ and let $S^p_n$ be the associated Schatten von Neumann class over $n\\times n$ matrices. We prove new characterizations of unital positive Schur multipliers $S^p_n\\to S^p_n$ which can be dilated into an invertible complete isometry acting on a non-commutative $L^p$-space. Then we investigate the infinite dimensional case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-23T10:49:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unital positive schur multipliers",
      "isometric dilation",
      "associated schatten von neumann class",
      "infinite dimensional case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}