Location
Cupples I Room 207
Start Date
7-18-2016 3:30 PM
End Date
18-7-2016 3:50 PM
Description
The class of weighted shifts on directed trees generalizes classical weighted shifts. It was introduced a few years ago and provided a lot of examples of operators with interesting properties. In the talk I will concentrate on analytic properties of these operators. In particular, I will prove that a weighted shift on a directed tree is related to a multiplier algebra of coefficients of analytic functions. This result leads to a kind of functional calculus for functions from multiplier algebras. Furthermore, I will present some properties of the spectrum and bounded point evaluations of these operators. The talk is based on a joint work with P. Budzyński and M. Ptak
Analytic structure of weighted shifts on directed trees
Cupples I Room 207
The class of weighted shifts on directed trees generalizes classical weighted shifts. It was introduced a few years ago and provided a lot of examples of operators with interesting properties. In the talk I will concentrate on analytic properties of these operators. In particular, I will prove that a weighted shift on a directed tree is related to a multiplier algebra of coefficients of analytic functions. This result leads to a kind of functional calculus for functions from multiplier algebras. Furthermore, I will present some properties of the spectrum and bounded point evaluations of these operators. The talk is based on a joint work with P. Budzyński and M. Ptak