{
  "id": "1604.03461",
  "version": "v1",
  "published": "2016-04-12T15:57:07.000Z",
  "updated": "2016-04-12T15:57:07.000Z",
  "title": "The Szlenk power type and tensor products of Banach spaces",
  "authors": [
    "Szymon Draga",
    "Tomasz Kochanek"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove a formula for the Szlenk power type of the injective tensor product of Banach spaces with Szlenk index at most $\\omega$. We also show that the Szlenk power type as well as summability of the Szlenk index are separably determined, and we extend some of our recent results concerning direct sums.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-12T15:57:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20",
      "46B28"
    ],
    "keywords": [
      "szlenk power type",
      "banach spaces",
      "szlenk index",
      "results concerning direct sums",
      "injective tensor product"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160403461D"
    }
  }
}