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The ball-covering property of noncommutative symmetric spaces

Volume 277 / 2024

Jinghao Huang, Karimbergen Kudaybergenov, Rui Liu Studia Mathematica 277 (2024), 169-190 MSC: Primary 46B20; Secondary 46L10, 46E30, 46L52 DOI: 10.4064/sm240413-9-6 Published online: 23 September 2024

Abstract

We characterize those non-commutative symmetric spaces having the ball-covering property, which provides a number of new examples of non-separable (commutative and non-commutative) Banach spaces having the ball-covering property. As a consequence, we identify those von Neumann algebras having the ball-covering property.

Authors

  • Jinghao HuangInstitute for Advanced Study in Mathematics of HIT
    Harbin Institute of Technology
    Harbin, 150001, P. R. China
    e-mail
  • Karimbergen KudaybergenovInstitute for Advanced Study in Mathematics of HIT
    Harbin Institute of Technology
    Harbin, 150001, P. R. China
    and
    Suzhou Research Institute of HIT
    Harbin Institute of Technology
    Suzhou, 215104, P. R. China
    e-mail
  • Rui LiuSchool of Mathematical Sciences and LPMC
    Nankai University
    Tianjin, 300071, P. R. China
    e-mail
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