Convexity and Star-shapedness of Matricial Range

Pan-Shun Lau, Chi-Kwong Li, Yiu-Tung Poon +1

Let $\mathbf{A}=(A_1,\dots ,A_m)$ be an $m$-tuple of bounded linear operators acting on a Hilbert space $\mathcal{H}$. Their joint $(p,q)$-matricial range ${\Lambda }_{p,q}(\mathbf{A})$ is the co…