Optimal error estimates in operator-norm approximations of some semi-groups
- Series
- Analysis Seminar
- Time
- Wednesday, March 14, 2012 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Vygantas Paulauskas – Vilnius University
In the talk some problems related with the famous Chernoff square root of
n - lemma in the theory of approximation of some semi-groups of operators will
be discussed. We present some optimal bounds in these approximations
(one of them is Euler approximation) and two new classes of operators,
generalizing sectorial and quasi-sectorial operators will be introduced.
The talk is based on two papers [V. Bentkus and V. Paulauskas, Letters
in Math. Physics, 68, (2004), 131-138] and [V. Paulauskas, J. Functional
Anal., 262, (2012), 2074-2099]