The degenerate Carathéodory problem and the elementary multiple factor

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2005
• Main Author: Chernovol, N.N.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106575
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The degenerate Carathéodory problem and the elementary multiple factor / N.N. Chernovol // Журнал математической физики, анализа, геометрии. — 2005. — Т. 1, № 2. — С. 225-244. — Бібліогр.: 14 назв. — англ.

The degenerate matricial interpolation Caratheodory 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 K-type subspace technique also plays an important role in these investigations.