2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111662We compare and classify various types of Banach algebra norms on mathbb{C}^k through geometric properties of their unit balls. This study is motivated by various open problems in interpolation theory and in the isometric characterization of operator algebra norms.Operator AlgebrasFunctional Analysis46L05 (primary), 46A22, 46H25, 46M10 (secondaryInterpolation and Balls in C^ktext