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Research Article

The generalized Brauer–Ostrowski theorem for matrices of operators

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Pages 2935-2945 | Received 09 Feb 2022, Accepted 19 Sep 2022, Published online: 29 Sep 2022

References

  • Ostrowski A. Über die Determinanten mit überwiegender Hauptdiagonale. Comment Math Helv. 1937;10:69–96.
  • Brauer A. Limits for the characteristic roots of a matrix. II: applications to stochastic matrices. Duke Math J. 1947;14(1):21–26.
  • Ostrowski A. Über das Nichtverschwinden einer Klasse von Determinanten und die Lokalisierung der charakteristischen Wurzeln von Matrizen. Compos Math. 1951;9:209–226.
  • Feingold DG, Varga RS. Block diagonally dominant matrices and generalizations of the Gershgorin circle theorem. Pac J Math. 1962;12(4):1241–1250.
  • Varga RS. Gershgorin and his circles. Springer Series in Computational Mathematics, Berlin: Springer-Verlag; 2004. p.36.
  • Salas HN. Gershgorin's theorem for matrices of operators. Linear Algebra Appl. 1999;291:15–36.
  • Herzog G, Schmoeger C. The Brauer-Ostrowski theorem for matrices of operators. Integral Equ Oper Theory. 2007;57:513–520.
  • Kato T. Perturbation theory for linear operators. Berlin: Springer-Verlag; 1976.

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