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.