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An application of the Schur complement to truncated matricial power moment problems

  • Bernd FritzscheEmail author
  • Bernd Kirstein
  • Conrad Mädler
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 271)

Abstract

The main goal of this paper is to reconsider a phenomenon which was treated in earlier work of the authors’ on several truncated matricial moment problems. Using a special kind of Schur complement we obtain a more transparent insight into the nature of this phenomenon. In particular, a concrete general principle to describe it is obtained. This unifies an important aspect connected with truncated matricial moment problems.

Keywords

Truncated matricial Hamburger moment problems truncated matricial α-Stieltjes moment problems Schur complement 

Mathematics Subject Classification (2010)

Primary 44A60 Secondary 47A57 

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Bernd Fritzsche
    • 1
    Email author
  • Bernd Kirstein
    • 1
  • Conrad Mädler
    • 1
  1. 1.Bernd Fritzsche, Bernd Kirstein and Conrad Mädler Mathematisches InstitutUniversität Leipzig Augustusplatz 10/11LeipzigGermany

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