The Bishop-Phelps-Bollobás property for numerical radius on \(L_1\) (Q2338732)

The author shows that \(L_1(\mathbb{R})\) has the Bishop-Phelps-Bollobás property for the numerical radius. This property, which was recently introduced in [\textit{A. J. Guirao} and \textit{O. Kozhushkina}, Stud. Math. 218, No. 1, 41--54 (2013; Zbl 1285.47008)], considers the denseness of the numerical radius attaining operators from a quantitative point of view. Its study constitutes a new branch of the quickly developing topic that deals with the Bishop-Phelps-Bollobás property for operators.