Spectra and essential spectral radii of composition operators on weighted Banach spaces of analytic functions

José Bonet, Pablo Galindo*, Mikael Lindström

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)

Abstract

We determine the spectra of composition operators acting on weighted Banach spaces Hv of analytic functions on the unit disc defined for a radial weight v, when the symbol of the operator has a fixed point in the open unit disc. We also investigate in this case the growth rate of the Koenigs eigenfunction and its relation with the essential spectral radius of the composition operator.

Original languageEnglish
Pages (from-to)884-891
Number of pages8
JournalJournal of Mathematical Analysis and Applications
Volume340
Issue number2
DOIs
Publication statusPublished - 15 Apr 2008
MoE publication typeA1 Journal article-refereed

Keywords

  • Composition operators
  • Essential spectral radius
  • Koenigs eigenfunction
  • Spectrum
  • Weighted Bergman spaces of infinite order

Fingerprint

Dive into the research topics of 'Spectra and essential spectral radii of composition operators on weighted Banach spaces of analytic functions'. Together they form a unique fingerprint.

Cite this