Counterexamples to Rational Dilation on Symmetric Multiply Connected Domains
Functional Analysis
2008-09-02 v2
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.
Keywords
Cite
@article{arxiv.0711.4080,
title = {Counterexamples to Rational Dilation on Symmetric Multiply Connected Domains},
author = {James Pickering},
journal= {arXiv preprint arXiv:0711.4080},
year = {2008}
}
Comments
Post-refereed version