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arXiv · 1904.03592

Tracial moment problems on hypercubes

Cong Trinh Le
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Abstract

In this paper we introduce the "tracial $K$-moment problem" and the "sequential matrix-valued $K$-moment problem" and show the equivalence of the solvability of these problems. Using a Haviland's theorem for matrix polynomials, we solve these $K$-moment problems for the case where $K$ is the hypercube $[-1,1]^n$.

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Cong Trinh Le. 2019-04-07. Tracial moment problems on hypercubes. https://arxiv.org/abs/1904.03592

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