On shape of Hilbertian embedding of universal Teichm¨uller space

We provide restricted negative answer to the question of Sullivan whether the universal Teichm¨uller space T is biholomorhically equivalent tobounded convex domain in a complex Banach space and establish that Hilbertian embedding of T cannot be convex.

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Bibliographic Details
Date:2015
Main Author: Krushkal, S. L.
Format: Article
Language:English
Published: Інститут математики НАН України 2015
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/187
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine