Numerical ranges of composition operators with inner symbols

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Abstract

Operators on function spaces acting by composition to the right with a fixed self-map π of some set are called composition operators with the symbol π. In this paper, composition operators on the Hilbert Hardy space over the unit disk are considered. The numerical ranges of composition operators with inner symbol of parabolic automorphic type or hyperbolic type are shown to be circular.

Original languageEnglish (US)
Pages (from-to)235-249
Number of pages15
JournalRocky Mountain Journal of Mathematics
Volume42
Issue number1
DOIs
Publication statusPublished - Dec 1 2012

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Keywords

  • Composition operator
  • Numerical range

ASJC Scopus subject areas

  • Mathematics(all)

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