Opuscula Math. 42, no. 3 (2022), 459-487
https://doi.org/10.7494/OpMath.2022.42.3.459
Opuscula Mathematica
Spectral resolutions for non-self-adjoint block convolution operators
Abstract. 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.
Keywords: spectral operators, chains, triangular decomposition, Laurent operators, Jacobi matrices.
Mathematics Subject Classification: 47B40, 47B28, 47B36, 47B35, 47B39.
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- Ewelina Zalot
https://orcid.org/0000-0002-1050-6756- AGH University of Science and Technology, Faculty of Applied Mathematics, al. A. Mickiewicza 30, 30-059 Kraków, Poland
- Communicated by Alexander Gomilko.
- Received: 2021-12-01.
- Revised: 2022-01-24.
- Accepted: 2022-02-13.
- Published online: 2022-04-29.
