Recent progress and open questions on the numerical index of Banach   spaces
  The aim of this paper is to review the state-of-the-art of recent research concerning the numerical index of Banach spaces, by presenting some of the results found in the last years and proposing a number of related open problems. 
Vladimir Kadets (Kharkov, Ukraine), Miguel Martin (Granada, Spain),   and Rafael Paya (Granada, Spain)