On the Bishop-Phelps-Bollobás property for numeri9cal radius in C(K) spaces

[EN] We study the Bishop-Phelps-Bollobás property for numerical radius within the framework of C(K) spaces. We present several sufficient conditions on a compact space K ensuring that C(K) has the Bishop-Phelps-Bollobás property for numerical radius. In particular, we show that C(K) has such property whenever K is metrizable.Research supported by Ministerio de Economía y Competitividad and FEDER under project MTM2011-25377. A. Avilés was supported by Ramón y Cajal contract (RYC-2008-02051). A.J. Guirao was supported by Generalitat Valenciana (GV/2010/036)Avilés López, A.; Guirao Sánchez, AJ.; Rodríguez, J. (2014). On the Bishop-Phelps-Bollobás property for numeri9cal radius in C(K) spaces. Journal of Mathematical Analysis and Applications. 419(1):395-421. doi:10.1016/j.jmaa.2014.04.039395421419