An \(n\times n\) matrix of linear functionals of \(C^{*}\)-algebras
Summary: We show that any bounded matrix of linear functionals \([ f_{ ij}]:M_{n} (A)\to M_{n} ({\mathbb C})\) has a representation \(f_{ ij} (a)=\langle T\pi (a)x_{j},x_{i}\rangle\), \(a\in A\), \(i,j=1,2,\dots,n\), for some representation \(\pi\) on a Hilbert space \(K\) and an \(n\) vectors \(x _{1,}x_{2},\dots,x_{n}\) in \(K\).
scientific article; zbMATH DE number 1779097