Integral Equations and Operator Theory

, Volume 25, Issue 3, pp 329–335

Local spectral theory for invertible composition operators onHp

  • R. C. Smith
Article

DOI: 10.1007/BF01262297

Cite this article as:
Smith, R.C. Integr equ oper theory (1996) 25: 329. doi:10.1007/BF01262297

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

47B4047B38

Copyright information

© Birkhäuser Verlag 1996

Authors and Affiliations

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