An application of the Schur complement to truncated matricial power moment problems
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.
KeywordsTruncated matricial Hamburger moment problems truncated matricial α-Stieltjes moment problems Schur complement
Mathematics Subject Classification (2010)Primary 44A60 Secondary 47A57
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