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

Opuscula Mathematica

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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Cite this article as:
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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