Publisher : Department of Mathematics, Kyungpook National University
DOI : 10.5666/KMJ.2013.53.2.185
Title & Authors
A Class of Invertible Bilateral Weighted Shifts Jung, Il Bong; Pearcy, Carl;
In this note we study a class of invertible weighted bilateral shifts on Hilbert space introduced by Haskell Rosenthal recently. We show that every Rosenthal shift is unitarily equivalent to its inverse, not quasisimilar to its adjoint, and has a nontrivial hyperinvariant subspace.