On unitary equivalence of bilateral operator valued weighted shifts

Opuscula Mathematica

article

Jakub Kośmider¹ 

[1] Instytut Matematyki, Uniwersytet Jagiellonski

关键词: unitary equivalence;    bilateral weighted shift;    quasi-invertible weights;    partial isometry.;   

DOI  :  10.7494/OpMath.2019.39.4.543

学科分类：环境科学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

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 unitary operator of diagonal form. The paper also contains some remarks regarding unitary operators that can give unitary equivalence of bilateral operator valued weighted shifts.

【 授权许可】

CC BY-NC