Abstract
Let $X$ be a Banach space. In this paper, we study the properties of wUR modulus of $X$, $\delta_X(\varepsilon, f),$ where $0 \le \varepsilon \le 2$ and $f \in S(X^*),$ and the relationship between the values of wUR modulus and reflexivity, uniform nonsquareness and normal structure, respectively. Among other results, we proved that if $ \delta_X(1, f)> 0$, for any $f\in S(X^*)$, then $X$ has weak normal structure.
Citation
Ji Gao. "wUR modulus and normal structure in Banach spaces." Adv. Oper. Theory 3 (3) 639 - 646, Summer 2018. https://doi.org/10.15352/aot.1801-1295
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