Spectra of composition operators on BMOA

M. Lindström*, N. Palmberg

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)

Abstract

It is shown that if φ is a univalent self-map on the unit disk double-struck D sign is not an automorphism and has a fixed point in double-struck D sign and if the essential spectral radius of the composition operator C φ on H 2 is different from zero, then the spectrum of C φ on BMOA coincides with double-struck D sign̄. This answers in the affirmative a conjecture by MacCluer and Saxe.

Original languageEnglish
Pages (from-to)75-86
Number of pages12
JournalIntegral Equations and Operator Theory
Volume53
Issue number1
DOIs
Publication statusPublished - Sep 2005
MoE publication typeA1 Journal article-refereed

Keywords

  • BMOA
  • Essential norm
  • Essential spectral radius
  • N
  • Spectrum
  • Weighted composition operator

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