The Weyl matrix balls corresponding to the matricial truncated Hamburger moment problem

TL;DR

This paper focuses on parametrizing Weyl matrix balls related to the truncated Hamburger moment problem, extending previous work by providing a general framework and building on earlier results for non-degenerate cases.

Contribution

It introduces a parametrization method for Weyl matrix balls in the general matricial truncated Hamburger moment problem setting, expanding on prior specific cases.

Findings

Parametrization of Weyl matrix balls for general truncated Hamburger moment problems

Extension of Kovalishina's results to broader cases

Framework based on V. P. Potapov's method of Fundamental matrix inequalities

Abstract

The main goal of the paper is to parametrize the Weyl matrix balls associated with an arbitrary matricial truncated Hamburger moment problem. For the special case of a non-degenerate matricial truncated Hamburger moment problem the corresponding Weyl matrix balls were computed by I. V. Kovalishina in the framework of V. P. Potapov's method of "Fundamental matrix inequalities".