A Recursive approach to the matrix moment problem
Functional Analysis
2024-01-02 v2
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 --hyponormal completion problems and provide an analog of Stampfli's Theorem on flat propagation for --hyponormal matricial weighted shifts.
Cite
@article{arxiv.2209.01630,
title = {A Recursive approach to the matrix moment problem},
author = {R. Curto and A. Ech-charyfy and K. Idrissi and E. H. Zerouali},
journal= {arXiv preprint arXiv:2209.01630},
year = {2024}
}
Comments
27 pages