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arXiv · 2311.14257

The ball-covering property of von Neumann algebras and noncommutative symmetric spaces

Jinghao Huang·Karimbergen Kudaybergenov·Rui Liu
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Abstract

We fully characterize those von Neumann algebras having the ball-covering property. We also study the ball-covering property of noncommutative symmetric spaces. In particular, we provide a number of new examples of non-separable (commutative and noncommutative) Banach spaces having the ball-covering property.

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Jinghao Huang, Karimbergen Kudaybergenov, Rui Liu. 2023-11-24. The ball-covering property of von Neumann algebras and noncommutative symmetric spaces. https://arxiv.org/abs/2311.14257

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