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Numerical ranges of nilpotent operators

✍ Scribed by Hwa-Long Gau; Pei Yuan Wu


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
142 KB
Volume
429
Category
Article
ISSN
0024-3795

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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