论文标题

水分析收缩的示例,其光谱是单位圆的适当suberc

Example of quasianalytic contraction whose spectrum is a proper subarc of the unit circle

论文作者

Gamal', Maria F.

论文摘要

给出了[KS2,问题2]的部分答案。也就是说,类似于准二元分析收缩的运算符$ r $,其准频谱集等于其光谱,并且是构建单位圆的适当suberc,但没有给定$ \ | r^{ - 1} \ | $的估计值。

A partial answer on [KS2, Question 2] is given. Namely, an operator $R$ similar to a quasianalytic contraction whose quasianalytic spectral set is equal to its spectrum and is a proper subarc of the unit circle is constructed, but no estimates of $\|R^{-1}\|$ is given.

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