Weyl Sets in a Truncated Matricial Stieltjes Moment Problem

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