Local spectral theory for invertible composition operators onH p |
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| Authors: | R. C. Smith |
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| Affiliation: | (1) Department of Mathematics and Statistics, Mississippi State University, P.O. Drawer MA, MS, 39762, Mississippi State |
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| 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. |
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| Keywords: | 47B40 47B38 |
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