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arXiv · 2209.01630

A Recursive approach to the matrix moment problem

R. Curto·A. Ech-charyfy·K. Idrissi·E. H. Zerouali
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Abstract

In this paper, we study the truncated matrix moment problem in one variable through recursive matrix extensions. \ We give necessary and sufficient conditions for a recursive matrix extension of finite data to be a matrix moment sequence in the classical cases of Hamburger, Stieltjes, and Hausdorff moment problems. \ We also discuss matricial subnormal completion and matricial $k$--hyponormal completion problems and provide an analog of Stampfli's Theorem on flat propagation for $2$--hyponormal matricial weighted shifts.

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R. Curto, A. Ech-charyfy, K. Idrissi, E. H. Zerouali. 2022-09-04. A Recursive approach to the matrix moment problem. https://arxiv.org/abs/2209.01630

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