Opuscula Mathematica
Opuscula Math. 34, no. 4 (2014), 871-887

Spectral representations for a class of banded Jacobi-type matrices

Ewelina Zalot
Witold Majdak
Abstract. We describe some spectral representations for a class of non-self-adjoint banded Jacobi-type matrices. Our results extend those obtained by P.B. Naïman for (two-sided infinite) periodic tridiagonal Jacobi matrices.
Keywords: spectral representation, Laurent operators, Jacobi matrices.
Mathematics Subject Classification: 47A67, 47A75.
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Ewelina Zalot
AGH University of Science and Technology, Faculty of Applied Mathematics, al. A. Mickiewicza 30, 30-059 Krakow, Poland
Witold Majdak
AGH University of Science and Technology, Faculty of Applied Mathematics, al. A. Mickiewicza 30, 30-059 Krakow, Poland
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Received: 2014-05-30.
Revised: 2014-09-22.
Accepted: 2014-10-11.
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Ewelina Zalot, Witold Majdak, Spectral representations for a class of banded Jacobi-type matrices, Opuscula Math. 34, no. 4 (2014), 871-887, http://dx.doi.org/10.7494/OpMath.2014.34.4.871.
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