{
  "id": "1007.4368",
  "version": "v5",
  "published": "2010-07-26T01:52:55.000Z",
  "updated": "2013-05-02T06:16:55.000Z",
  "title": "Computation of antieigenvalues of bounded linear operators via centre of mass",
  "authors": [
    "Kallol Paul",
    "Gopal Das",
    "Lokenath Debnath"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We introduce the concept of theta-antieigenvalue and theta-antieigenvector of a bounded linear operator on complex Hilbert space. We study the relation between theta-antieigenvalue and centre of mass of a bounded linear operator and compute antieigenvalue using the relation. This follows the notion of symmetric antieigenvalues introduced by Hossein et al. in \\cite{19}. We show that the concept of real antieigenvalue, imaginary antieigenvalue and symmetric antieigenvalue follows as a special case of theta-antieigenvalue. We also show how the concept of total antieigenvalue is related to the $\\theta$-antieigenvalue. In fact, we show that all the concepts of antieigenvalues studied so far follows from the concept of theta-antieigenvalue. We illustrate with example how to calculate the $\\theta$-antieigenvalue for an operator acting on a finite dimensional Hilbert space.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2013-05-02T06:16:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A63",
      "47B44"
    ],
    "keywords": [
      "bounded linear operator",
      "computation",
      "theta-antieigenvalue",
      "symmetric antieigenvalue",
      "finite dimensional hilbert space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.4368P"
    }
  }
}