On the truncated operator trigonometric moment problem-Reference-Cited by-同舟云学术

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On the truncated operator trigonometric moment problem

Published:2015-01-08 Issue:1 Volume:2 Page:
ISSN:2299-3282
Container-title:Concrete Operators
language:
Short-container-title:

Author:

Zagorodnyuk Sergey

Abstract

AbstractIn 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/conop-2015-0002/pdf

Reference10 articles.

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3. The truncated matrix trigonometric moment problem with an open gap;Zagorodnyuk;Concr Oper,2014

4. Truncated moment problems for operators no;Ando;Acta Sci Math,1970

5. The matricial Carathéodory problem in both nondegenerate and degenerate cases Oper;Fritzsche;Theory Adv Appl,2006

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1. Lasserre Hierarchy for Large Scale Polynomial Optimization in Real and Complex Variables;SIAM Journal on Optimization;2018-01

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