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arXiv · 2005.04031

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

Maria F. Gamal'
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Abstract

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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Maria F. Gamal'. 2020-05-08. Example of quasianalytic contraction whose spectrum is a proper subarc of the unit circle. https://doi.org/10.4064/sm201220-17-6

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