English

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

Functional Analysis 2022-12-06 v1

Abstract

A partial answer on [KS2, Question 2] is given. Namely, an operator RR 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 R1\|R^{-1}\| is given.

Keywords

Cite

@article{arxiv.2005.04031,
  title  = {Example of quasianalytic contraction whose spectrum is a proper subarc of the unit circle},
  author = {Maria F. Gamal'},
  journal= {arXiv preprint arXiv:2005.04031},
  year   = {2022}
}