Spectral radii for subsets of Hilbert $C^{\ast }$-modules and spectral properties of positive maps

B. V. Rajarama Bhat, Biswarup Saha, Prajakta Sahasrabuddhe

The notions of joint and outer spectral radii are extended to the setting of Hilbert $C^{\ast }$-bimodules. A Rota-Strang type characterisation is proved for the joint spectral radius. I…