Annals of Functional Analysis

A new approach to the nonsingular cubic binary moment problem

Raúl E. Curto and Seonguk Yoo

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Abstract

We present an alternative solution to nonsingular cubic moment problems, using techniques that are expected to be useful for higher-degree truncated moment problems. In particular, we apply the theory of recursively determinate moment matrices to deal with a case of rank-increasing moment matrix extensions.

Article information

Source
Ann. Funct. Anal., Volume 9, Number 4 (2018), 525-536.

Dates
Received: 7 August 2017
Accepted: 4 December 2017
First available in Project Euclid: 15 June 2018

Permanent link to this document
https://projecteuclid.org/euclid.afa/1529028136

Digital Object Identifier
doi:10.1215/20088752-2017-0066

Mathematical Reviews number (MathSciNet)
MR3871912

Zentralblatt MATH identifier
07002089

Subjects
Primary: 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators [See also 45P05, 47G10 for other integral operators; see also 32A25, 32M15]
Secondary: 47A30: Norms (inequalities, more than one norm, etc.) 15A83: Matrix completion problems 15A60: Norms of matrices, numerical range, applications of functional analysis to matrix theory [See also 65F35, 65J05] 15A48

Keywords
cubic moment problem recursively determinate moment matrix flat extension semidefinite programming

Citation

Curto, Raúl E.; Yoo, Seonguk. A new approach to the nonsingular cubic binary moment problem. Ann. Funct. Anal. 9 (2018), no. 4, 525--536. doi:10.1215/20088752-2017-0066. https://projecteuclid.org/euclid.afa/1529028136


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References

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