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On the boundary of numerical ranges of operators

✍ Scribed by Hai-Yan Zhang; Yan-Ni Dou; Mei-Feng Wang; Hong-Ke Du


Book ID
108052604
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
201 KB
Volume
24
Category
Article
ISSN
0893-9659

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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