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яндекс.ћетрика

DOI: 10.23671/VNC.2016.2.5917

On the Number of Connected Components of the Complement of Limiting Spectrum of Toeplitz Band Matrices

Zolotikh S. A. , Stukopin V. A.
Vladikavkaz Mathematical Journal 2016. Vol. 18. Issue 2.
Abstract:
We obtain lower bounds for the maximum number of connected components of complement of limiting spectrum of Toeplitz band matrix whose symbol is a Laurent polynomial of a given degree. We also give examples of polynomials which are symbols of Toeplitz matrices whose limiting spectrum divides the complex plane into the given number of connected components.
Keywords: banded Toeplitz matrices, symbol of the Toeplitz matrix, limiting spectrum, number of connected components.
Language: Russian Download the full text  
For citation: Zolotikh S. A., Stukopin V. A. On the number of connected components of the complement of limiting spectrum of toeplitz band matrices† // Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 19, no. 2, pp. 41-48. DOI 10.23671/VNC.2016.2.5917
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