turkmath.org

Weighted shifts formulate one of the most important classes of operators and they have been extensively studied. Their dynamic behaviour has been well understood since the work of Salas. In this talk, we will introduce several notions of shift-like operators and discuss their dynamics. We will start from the usual weighted shifts, pass to weighted shifts on trees and end up with the generalized shifts. The talk will be based on joint papers with Karl Grosse-Erdmann and Quentin Menet.