On the truncated operator trigonometric moment problem

2015/01/10 by Sergey M. Zagorodnyuk, Zagorodnyuk, Sergey M.
Mathematics · #47A57 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:47A57

paper · pdf · doi:10.48550/arxiv.1501.02396

16 pages

arxiv created 2015/01/10 · arxiv updated 2015/01/13

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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