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

2023/11/24 by Jinghao Huang, Huang, Jinghao, Karimbergen Kudaybergenov +3
Mathematics · #46B20 #46E30 #46L10 #46L52 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2311.14257

openalex publication_date 2023/11/24 · openalex created_date 2023/11/28 · openalex updated_date 2026/07/28

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.

Related

• The ball-covering property of non-commutative spaces of operators on Banach spaces
• Ball covering property from commutative function spaces to non-commutative spaces of operators
• Ball Covering Property on Operators and Calkin Algebra
• Interpolation theorems for operators in non-commutative vector-valued symmetric spaces
• A reduction method for noncommutative L_p-spaces and applications