Counterexamples to Rational Dilation on Symmetric Multiply Connected Domains

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dc.creatorPickering, James
dc.date2007-11-26
dc.date2008-09-02
dc.date.accessioned2026-07-07T09:59:32Z
dc.date.available2026-07-07T09:59:32Z
dc.descriptionWe 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.
dc.descriptionPost-refereed version
dc.identifierhttps://arxiv.org/abs/0711.4080
dc.identifierhttp://arxiv.org/abs/0711.4080
dc.identifierdoi:10.1007/s11785-008-0079-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168056
dc.subjectFunctional Analysis
dc.subject47A20
dc.titleCounterexamples to Rational Dilation on Symmetric Multiply Connected Domains
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