{
  "id": "2403.05071",
  "version": "v1",
  "published": "2024-03-08T05:49:11.000Z",
  "updated": "2024-03-08T05:49:11.000Z",
  "title": "$A$-approximate point spectrum of $A$-bounded operators in semi-Hilbertian spaces",
  "authors": [
    "Arup Majumdar",
    "P. Sam Johnson"
  ],
  "comment": "18 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper delves into several characterizations of $A$-approximate point spectrum of A-bounded operators acting on a complex semi-Hilbertian space $H$ and also investigates properties of the $A$-approximate point spectrum for the tensor product of two $A^{\\frac{1}{2}}$-adjoint operators. Furthermore, several properties of $A$-normal operators have been established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-08T05:49:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A10",
      "47A30",
      "47A80",
      "46C05"
    ],
    "keywords": [
      "approximate point spectrum",
      "bounded operators",
      "complex semi-hilbertian space",
      "properties",
      "normal operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}