3 papers
math.FA2026
-Properties, Uniformly Convexity and Uniform Ball Coverings Properties
Rui Liu, Jie Shen
We prove a sufficient criterion for closed subspaces of operator spaces containing the finite-rank operators to have the uniform ball-covering property. Let be a separable unif…
math.FA2025
Approximation properties and quantitative estimation for uniform ball-covering property of operator spaces
Qiyao Bao, Rui Liu, Jie Shen
In this paper, by dilation technique on Schauder frames, we extend Godefroy and Kalton's approximation theorem (1997), and obtain that a separable Banach space has the -uncondit…
math.FA2024
The ball-covering property of non-commutative spaces of operators on Banach spaces
Qiyao Bao, Rui Liu, Jie Shen
A Banach space is said to have the ball-covering property (BCP) if its unit sphere can be covered by countably many closed or open balls off the origin. Let be a Banach space w…