Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Mat. Fiz. Anal. Geom.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (311 kB)
References:
PDF
HTML
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
Bibliographic databases:
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
\Bibitem{1}
\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}
Linking options:
  • https://www.mathnet.ru/eng/jmag14
  • https://www.mathnet.ru/eng/jmag/v1/i2/p225
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:120
    Full-text PDF :41
    References:32
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024