Integral Equations and Operator Theory

, Volume 25, Issue 3, pp 329–335

Local spectral theory for invertible composition operators onHp


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

DOI: 10.1007/BF01262297

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


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


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© Birkhäuser Verlag 1996