On shape of Hilbertian embedding of universal Teichm¨uller space

• Date: 2015
• Author Affiliations: S. L. Krushkal
• Keywords: keywords
• 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
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

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.