{
  "id": "1304.2950",
  "version": "v1",
  "published": "2013-04-10T13:23:49.000Z",
  "updated": "2013-04-10T13:23:49.000Z",
  "title": "Köthe-Bochner spaces and some geometric properties related to rotundity and smoothness",
  "authors": [
    "Jan-David Hardtke"
  ],
  "comment": "40 pages, 4 figures, partial text overlap with arXiv:1201.2300",
  "categories": [
    "math.FA"
  ],
  "abstract": "In 2000 Kadets et al. introduced the notions of acs, luacs and uacs spaces, which form common generalisations of well-known rotundity and smoothness properties of Banach spaces. In a recent preprint the author introduced some further related notions and investigated the behaviour of these geometric properties under the formation of absolute sums. This paper is in a sense a continuation of the previous work. Here we will study the behaviour of said properties under the formation of K\\\"othe-Bochner spaces, thereby generalising some results of Sirotkin on the acs, luacs and uacs properties of $L^p$-Bochner spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-10T13:23:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20",
      "46B42",
      "46E30"
    ],
    "keywords": [
      "geometric properties",
      "köthe-bochner spaces",
      "smoothness",
      "form common generalisations",
      "uacs spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.2950H"
    }
  }
}