Unconditional almost squareness and applications to spaces of Lipschitz   functions
  We introduce an unconditional concept of almost squareness in order to provide a partial negative answer to the problem of existence of any dual almost square Banach space. We also take advantage of this notion to provide some criterion of non-duality of some subspaces of scalar as well as vector valued Lipschitz functions. 
Luis Garc\'ia-Lirola, Abraham Rueda Zoca
math.FA