2022/10/24 by Xavier Mootoo, Mootoo, Xavier, Paul Skoufranis +1
Mathematics · Computer Science · #Advanced Topics in Algebra #Advanced Operator Algebra Research #Matrix Theory and Algorithms
paper · pdf · doi:10.48550/arxiv.2210.13309
Various notions of joint majorization are examined in continuous matrix algebras. The relative strengths of these notions are established via proofs and examples. In addition, the closed convex hulls of joint unitary orbits are completely characterized in continuous matrix algebras via notions of joint majorization. Some of these characterizations are extended to subhomogeneous C^*-algebras.