An operator Arzelà-Ascoli theorem

Abstract

We generalize the Arzelà-Ascoli theorem to the setting of matrix order unit spaces, extending the work of Antonescu-Christensen on unital C*-algebras. This gives an affirmative answer to a question of Antonescu and Christensen.

16 pages

References in corpus (4)

• Metrics on State Spaces
• Metrics on states from actions of compact groups
• Matrix algebras converge to the sphere for quantum Gromov--Hausdorff distance
• Non-Commutative Metrics on Matrix State Spaces