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arXiv · 0711.4080

Counterexamples to Rational Dilation on Symmetric Multiply Connected Domains

James Pickering
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Abstract

We show that if R is a compact domain in the complex plane with two or more holes and an anticonformal involution onto itself (or equivalently a hyperelliptic Schottky double), then there is an operator T which has R as a spectral set, but does not dilate to a normal operator with spectrum on the boundary of R.

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James Pickering. 2008-09-02. Counterexamples to Rational Dilation on Symmetric Multiply Connected Domains. https://doi.org/10.1007/s11785-008-0079-5

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