Журн. матем. физ., анал., геом.,
2005, том 1, номер 2,страницы 225–244(Mi jmag14)
The degenerate Carathéodory problem and the elementary multiple factor
N.N. Chernovol
Department of Mechanics and Mathematics, V.N. Karazin Kharkov National University 4 Svobody Sq., Kharkov, 61077, Ukraine
Аннотация:
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.
Ключевые слова и фразы:matrix-valued function with nonnegative real part, interpolation Carathйodory problem, $J$-expansive matrix-valued function.
Полный текст:
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