Abstract.
The classical Brauer-Ostrowski Theorem gives a localization of the spectrum of a matrix by a union of Cassini ovals. In this paper we prove a corresponding result for operator matrices.
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Herzog, G., Schmoeger, C. The Brauer–Ostrowski Theorem for Matrices of Operators. Integr. equ. oper. theory 57, 513–520 (2007). https://doi.org/10.1007/s00020-006-1472-y
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DOI: https://doi.org/10.1007/s00020-006-1472-y