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DOI: 10.23671/VNC.2016.2.5917 On the Number of Connected Components of the Complement of Limiting Spectrum of Toeplitz Band Matrices
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
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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