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

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Operator Theory, Analysis and the State Space Approach

Part of the book series: Operator Theory: Advances and Applications ((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.

Dedicated to the 80th birthday of M. A. Kaashoek

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Correspondence to Bernd Fritzsche .

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Fritzsche, B., Kirstein, B., Mädler, C. (2018). An application of the Schur complement to truncated matricial power moment problems. In: Bart, H., ter Horst, S., Ran, A., Woerdeman, H. (eds) Operator Theory, Analysis and the State Space Approach. Operator Theory: Advances and Applications, vol 271. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-04269-1_9

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