On unitary equivalence of bilateral operator valued weighted shifts

We establish a characterization of unitary equivalence of two bilateral operator valued weighted shifts with quasi-invertible weights by an operator of diagonal form. We provide an example of unitary equivalence between shifts with weights defined on \(\mathbb{C}^2\) which cannot be given by any uni...

Full description

Bibliographic Details
Main Author: Jakub Kośmider
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2019-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol39/4/art/opuscula_math_3931.pdf