Zoltán Léka
TIME REGULARITY PROPERTIES OF BOUNDED LINEAR OPERATORS
Time regularity property is closely related to stability properties of a given operator. To be precise, we shall study the norm convergence of the operator sequence T^n - T^{n-1}, where T acts continuously on a Banach space. The original point of the area is J.Esterle, Y.Katznelson and L.Tzafriri's seminal work which motivated general stability results and 0-2 laws of bounded, linear operators.
The aim of our talk is to present a survey on this topic and produce a few new results here. We shall focus on the possible rates of the convergence, especially, in the Hilbert space case.