Weyl Sets in a Truncated Matricial Stieltjes Moment Problem

Abstract

Given a point w in the open upper complex half-plane Pi _{mathord {+}}, we describe the set of possible values F_sigma left( {w}right) of Stieltjes transforms F_sigma left( {z}right) :=int _{[alpha ,infty )}left( {x-z}right) ^{-1}sigma left( {textrm{d}x}right) , zin Pi _{mathord {+}}, corresponding to solutions sigma to a truncated matricial Stieltjes moment problem as intersection of two matrix balls.