Subnormal weighted shifts on directed trees and composition operators in $L^2$ spaces with non-densely defined powers

Piotr Budzynski, Piotr Dymek, Zenon Jan Jablonski +1

It is shown that for every positive integer $n$ there exists a subnormal weighted shift on a directed tree (with or without root) whose $n$th power is densely defined while its $(n…