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On the numerical ranges of a family of commuting operators

✍ Scribed by A. M. Gomilko; G. V. Radzievskii


Publisher
SP MAIK Nauka/Interperiodica
Year
1997
Tongue
English
Weight
355 KB
Volume
62
Category
Article
ISSN
0001-4346

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The Numerical Ranges of Automorphic Comp
✍ Paul S. Bourdon; Joel H. Shapiro πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 136 KB

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