Integral Equations and Operator Theory

, Volume 25, Issue 3, pp 329–335

Local spectral theory for invertible composition operators onHp

  • R. C. Smith
Article

Abstract

Invertible composition operators on the Hardy spaceHp have automorphic symbols. For 1<p<∞ andp≠2 it is shown that some elliptic composition operators are scalar while others are generalized scalar but not spectral, that parabolic composition operators are generalized scalar but not spectral and that hyperbolic composition operators do not have the single-valued extension property.

AMS Subject Classification

47B40 47B38 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag 1996

Authors and Affiliations

  • R. C. Smith
    • 1
  1. 1.Department of Mathematics and StatisticsMississippi State University

Personalised recommendations