对称Multiply Connected Domains上有理伸缩的反例
Counterexamples to Rational Dilation on Symmetric Multiply Connected Domains
摘要：
本文证明了：如果R是复平面上具有两个或两个以上洞的紧致区域，且R上有一个反共形对合（或等价于一个超椭圆Schottky对合），则存在一个算子T，它以R为谱集，但不扩张为在R边界上有谱的正规算子.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
