{
  "id": "2109.10439",
  "version": "v1",
  "published": "2021-09-21T21:53:00.000Z",
  "updated": "2021-09-21T21:53:00.000Z",
  "title": "Multiple almost summing operators",
  "authors": [
    "Joilson Ribeiro",
    "Fabrício Santos"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we explore the concept of multilinear operators that are multiple almost summing and present a new concept of type and cotype of multilinear operators and investigate the conditions for this new concept to recover the original concept of type and type for multilinear operators. We also show that these classes are Banach multi-ideals and establish the coherence and compatibility of these classes with the generated homogeneous polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-21T21:53:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "summing operators",
      "multilinear operators",
      "original concept",
      "banach multi-ideals",
      "conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}