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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. © 2008 Birkhäuser Verlag Basel/Switzerland.
Author(s): Pickering J
Publication type: Article
Publication status: Published
Journal: Complex Analysis and Operator Theory
Year: 2010
Volume: 4
Issue: 1
Pages: 55-95
Print publication date: 01/04/2010
ISSN (print): 1661-8254
ISSN (electronic): 1661-8262
Publisher: Birkhaeuser Verlag AG
URL: http://dx.doi.org/10.1007/s11785-008-0079-5
DOI: 10.1007/s11785-008-0079-5
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