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The Numerical Ranges of Automorphic Composition Operators

โœ Scribed by Paul S. Bourdon; Joel H. Shapiro

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
136 KB
Volume
251
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

We investigate the shape of the numerical range for composition operators induced on the Hardy space H 2 by conformal automorphisms of the unit disc. We show that usually, but not always, such operators have numerical ranges whose closures are discs centered at the origin. Surprising open questions arise from our investigation.

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