Note on Kadets Klee property and Asplund spaces
  A typical result in this note is that if $X$ is a Banach space which is a weak Asplund space and has the $\omega^*$-$\omega$-Kadets Klee property, then $X$ is already an Asplund space. 
Petr H\'ajek and Jarno Talponen
math.FA