Banach space theory 1finite-rank operators 1operator spaces 1uniform ball covering property 1uniform convexity 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.FA2026
-Properties, Uniformly Convexity and Uniform Ball Coverings Properties
Rui Liu, Jie Shen
The paper establishes a sufficient condition for closed subspaces of operator spaces that contain finite‑rank operators to possess the uniform ball‑covering property, using the geo…
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 -uncondi…
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…