Uniqueness of left inverses in convex domains, symmetrized bidisc and tetrablock
Łukasz Kosiński, Włodzimierz Zwonek · arXiv (Cornell University) · 2013
In the talk results from a common paper of L. Kosinski and W. Zwonek are presented. The problem has two origins. The one is connected with the Lempert Theorem and the other with the Nevanlinna-Pick problem. Among others the following results concerning the uniqueness of the Nevanlinna-Pick problem for two points (uniqueness of left inverses) are presented • The strongly linearly convex domains allow no uniqueness of left inverses. • The problem of uniqueness of left inverses in the symmetrized bidisc and the tetrablock are given. The results presented show some interesting and unexpected phenomena.