On unitary equivalence of bilateral operator valued weighted shifts
Functional Analysis
2019-05-27 v1
Abstract
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 also present an example of unitary equivalence between shifts defined on which cannot be given by any unitary operator of diagonal form. The paper is concluded with investigation of unitary operators than can give unitary equivalence of bilateral operator valued weighted shifts.
Keywords
Cite
@article{arxiv.1806.10321,
title = {On unitary equivalence of bilateral operator valued weighted shifts},
author = {Jakub Kośmider},
journal= {arXiv preprint arXiv:1806.10321},
year = {2019}
}