TY  - JOUR
ID  - Kośmider2019
LB  - Kośmider2019
AU  - Kośmider, Jakub
TI  - On unitary equivalence of bilateral operator valued weighted shifts
ST  - On unitary equivalence of bilateral operator valued weighted shifts
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2019
VL  - 39
IS  - 4
SP  - 543
EP  - 555
DO  - https://doi.org/10.7494/OpMath.2019.39.4.543
UR  - https://doi.org/10.7494/OpMath.2019.39.4.543
AB  - 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.
KW  - unitary equivalence
KW  - bilateral weighted shift
KW  - quasi-invertible weights
KW  - partial isometry
SN  - 1232-9274
ER  -