# wUR modulus and normal structure in Banach spaces

Document Type: Original Article

Author

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 non-squareness 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.

Keywords

### Histroty

• Receive Date: 14 January 2018
• Revise Date: 27 February 2018
• Accept Date: 27 February 2018