The degenerate Carathéodory problem and the elementary multiple factor

Автор(и)

  • N. N. Chernovol Department of Mechanics and Mathematics, V.N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine

Ключові слова:

matrix-valued function with nonnegative real part, interpolation Carathéodory problem, J-expansive matrix-valued function

Анотація

The degenerate matricial interpolation Carathéodory problem is solved. To solve this problem we use the V.P. Potapov`s approach based on the theory of $J$-expansive matrix-functions. The $\mathcal{K}$-type subspace technique also plays an important role in these investigations.

Mathematics Subject Classification: 30E05, 47A56, 30D50.

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Як цитувати

(1)
Chernovol, N. N. The degenerate Carathéodory problem and the elementary multiple factor. Журн. мат. фіз. анал. геом. 2005, 1, 225-244.

Номер

Том 1 № 2 (2005)

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