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Counterexamples to Rational Dilation on Symmetric Multiply Connected Domains

Lookup NU author(s): James Pickering

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Abstract

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.

Publication metadata

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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