Zhizheng Yu

collaborators

3 papers

math.FA2026

On strengthened versions of Klee's convex body problem in Banach spaces

Lixin Cheng, Wuyi He, Chulei Liu +1

In a recent article, Cheng, Jiang and Yuan gave an affirmative answer to Klee's convex bodies problem of Banach spaces in the sense of strict convexity and Gâteaux smoothness. In t…

math.FA2026

Arazy-type decomposition theorem for bounded linear operators and commutators on the trace class

Jinghao Huang, Fedor Sukochev, Zhizheng Yu

The classical Arazy's decomposition theorem provides a powerful tool in the study of sequences in (and isomorphisms on) a separable operator ideal $C_{E}$ of the algebra $\m…

math.FA2023

Szlenk and $w^{}$ -dentability indices of C $^{}$ -algebras

Lixin Cheng, Zhizheng Yu

Let $A$ be a infinite dimensional C*-algebra and $1 < p < \infty$ . We compute the Szlenk index of $A$ and $L_{p} (A)$ , and show that $Sz(\mathcal A)=Γ'(i(\mathc…

On strengthened versions of Klee's convex body problem in Banach spaces

Arazy-type decomposition theorem for bounded linear operators and commutators on the trace class

Szlenk and w∗-dentability indices of C∗-algebras

Szlenk and $w^{}$ -dentability indices of C $^{}$ -algebras