{
  "id": "2007.14674",
  "version": "v1",
  "published": "2020-07-29T08:40:53.000Z",
  "updated": "2020-07-29T08:40:53.000Z",
  "title": "A factorization of a quadratic pencils of accretive operators and applications",
  "authors": [
    "F. Bouchelaghem",
    "M. Benharrat"
  ],
  "categories": [
    "math.FA",
    "math.SP"
  ],
  "abstract": "A canonical factorization is given for a quadratic pencil of accretive operators in a Hilbert space. Also, we establish some relationships between an m-accretive operator and its Moore-Penorse inverse. As an application, we study a result of existence, uniqueness, and maximal regularity of the strict solution for complete abstract second order differential equation in the non-homogeneous case. The paper is concluded with some questions left open from the preceding discussions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-29T08:40:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A10",
      "47A56"
    ],
    "keywords": [
      "quadratic pencil",
      "accretive operators",
      "application",
      "abstract second order differential equation",
      "complete abstract second order differential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}