On the Discrete Spectrum of Complex Banded Matrices

Автор(и)

  • L. Golinskii B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov, 61103, Ukraine
  • M. Kudryavtsev B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov, 61103, Ukraine

Анотація

The discrete spectrum of complex banded matrices that are compact perturbations of the standard banded matrix of order p is under consideration. The rate of stabilization for the matrix entries sharp in the sense of order which provides finiteness of the discrete spectrum is found. The p-banded matrix with the discrete spectrum having exactly p limit points on the interval (-2,2) is constructed. The results are applied to study the discrete spectrum of asymptotically periodic Jacobi matrices.

Mathematics Subject Classification: 47B36, 47A10.

Ключові слова:

banded matrices, discrete spectrum, asymptotically periodic Jacobi matrices.

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Як цитувати

(1)
Golinskii, L.; Kudryavtsev, M. On the Discrete Spectrum of Complex Banded Matrices. Журн. мат. фіз. анал. геом. 2006, 2, 396-423.

Номер

Том 2 № 4 (2006)

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