{
  "id": "2311.01124",
  "version": "v1",
  "published": "2023-11-02T10:12:14.000Z",
  "updated": "2023-11-02T10:12:14.000Z",
  "title": "A generalization of p-convexity and q-concavity on Banach lattices",
  "authors": [
    "Fernando Galaz-Fontes",
    "José Luis Hernández-Barradas"
  ],
  "comment": "25 pages, currently in peer review phase at Positivity Journal",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, considering a real Banach sequence lattice Y instead of a Lebesgue sequence space $l_p$ we generalize p-convexity of a linear operator $T:E\\to X$, where E is a Banach space and X is a Banach lattice. Then we prove that basic properties of p-convexity remain valid for Y-convex linear operators. Analogous generalizations are given for q-concavity and p-summability and composition properties between these operators are analyzed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-02T10:12:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B42",
      "47A30",
      "47B10"
    ],
    "keywords": [
      "banach lattice",
      "generalization",
      "q-concavity",
      "real banach sequence lattice",
      "y-convex linear operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}