四阶非奇异截断复矩矩阵的平坦延拓

Flat Extension of the Nonsingular Quartic Moment Problem

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摘要讨论Curto-Fialkow所给出的四阶截断复矩问题,得到了四阶非奇异截断复矩矩阵M(2)的平坦延拓存在的充分必要条件以及在特殊情况下的解,并举例进行了验证. This paper discussed the quartic moment problem suggested by Curto and Fialkow and examines the existence of flat extensions for nonsingular positive quartic moment matrices M （2）, gives solutions for the nonsingular quatic moment problem and examples are provided.

作者李胜军王浩华

机构地区海南大学信息科学技术学院

出处《海南大学学报（自然科学版）》 CAS 2008年第1期17-20,25,共5页 Natural Science Journal of Hainan University

基金海南省自然科学基金(80601)

关键词四阶非奇异截断复矩问题表示测度平坦延拓矩量矩阵 BOREL测度 Nonsingular quartic moment problem Representing measurement Flat extension Moment matrix Borel measure

分类号 O177.6 [理学—基础数学]

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1李胜军,李物兰.四阶非奇异截断复矩矩阵的延拓问题[J].应用泛函分析学报,2011,13(1):95-99.
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海南大学学报（自然科学版）

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四阶非奇异截断复矩矩阵的平坦延拓

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