Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2005, Volume 1, Number 2, Pages 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
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Abstract: 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.
Key words and phrases: matrix-valued function with nonnegative real part, interpolation Carathéodory problem, $J$-expansive matrix-valued function.
Received: 26.01.2005
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Document Type: Article
MSC: 30E05, 47A56, 30D50
Language: English
Citation: N.N. Chernovol, “The degenerate Carathéodory problem and the elementary multiple factor”, Zh. Mat. Fiz. Anal. Geom., 1:2 (2005), 225–244
Citation in format AMSBIB
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\by N.N. Chernovol
\paper The degenerate Carath\'eodory problem and the elementary multiple factor
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2005
\vol 1
\issue 2
\pages 225--244
\mathnet{http://mi.mathnet.ru/jmag14}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2194230}
\zmath{https://zbmath.org/?q=an:1088.30031}
\elib{https://elibrary.ru/item.asp?id=13050009}
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