关于截断算子三角矩问题

IF 0.3 Q4 MATHEMATICS
S. Zagorodnyuk
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引用次数: 5

摘要

摘要本文研究截断算子三角矩问题。力矩问题的所有解都用内万林纳型参数化来描述。对于作用于可分离希尔伯特空间的矩,nevanlinna型公式中的算子系数矩阵由规定的矩计算。并给出了矩问题的确定性条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the truncated operator trigonometric moment problem
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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来源期刊
Concrete Operators
Concrete Operators MATHEMATICS-
CiteScore
1.00
自引率
16.70%
发文量
10
审稿时长
22 weeks
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