Aktualne ogłoszenie
Current announcement
21 października 2025 / October 21, 2025
Michał Buchała
High order isometric liftings and dilations
Abstract. It is evident that the operator, which has m-isometric dilation, must be of polynomial growth of order m-1. In the talk we will show that the aforementioned necessary condition implies existence of (m+2)-isometric dilation. We will also prove that in case of convex operators, the necessary condtion is also sufficient: if powers are of linear growth, then the operator has 2-isometric dilation. The talk is based on: C. Badea, V. Müller, L. Suciu, High order isometric liftings and dilations, Studia Mathematica 258, 2021.