TY  - JOUR
ID  - Zalot2022
LB  - Zalot2022
AU  - Zalot, Ewelina
TI  - Spectral resolutions for non-self-adjoint block convolution operators
ST  - Spectral resolutions for non-self-adjoint block convolution operators
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2022
VL  - 42
IS  - 3
SP  - 459
EP  - 487
DO  - https://doi.org/10.7494/OpMath.2022.42.3.459
UR  - https://doi.org/10.7494/OpMath.2022.42.3.459
AB  - The paper concerns the spectral theory for a class of non-self-adjoint block convolution operators. We mainly discuss the spectral representations of such operators. It is considered the general case of operators defined on Banach spaces. The main results are applied to periodic Jacobi matrices.
KW  - spectral operators
KW  - chains
KW  - triangular decomposition
KW  - Laurent operators
KW  - Jacobi matrices
SN  - 1232-9274
ER  -