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arXiv · 1501.02396

On the truncated operator trigonometric moment problem

Sergey M. Zagorodnyuk
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Abstract

In this paper we study the truncated operator trigonometric moment problem. All solutions of the moment problem are described by a Nevanlinna-type parameterization. In the case of moments acting in a separable Hilbert space, the matrices of the operator coefficients in the Nevanlinna-type formula are calculated by the prescribed moments. Conditions for the determinacy of the moment problem are given, as well.

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Sergey M. Zagorodnyuk. 2015-01-10. On the truncated operator trigonometric moment problem. https://arxiv.org/abs/1501.02396

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