Journal of Operator Theory

Volume 92, Issue 2, Autumn 2024 pp. 413-438.

Joint majorization in continuous matrix algebras

Authors: Xavier Mootoo (1) and Paul Skoufranis (2)
Author institution: (1) Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada
(2) Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada

Summary: 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.

DOI: http://dx.doi.org/10.7900/jot.2022oct28.2410
Keywords: convex hull of unitary orbits, joint majorization, continuous matrix algebras

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