On nested sequences of convex sets in a Banach space
  In this paper we study different aspects of the representation of weak*-compact convex sets of the bidual $X^{**}$ of a separable Banach space $X$ via a nested sequence of closed convex bounded sets of $X$. 
Jes\'us M. F. Castillo, Manuel Gonz\'alez and Pier Luigi Papini
math.FA