Unconditionally saturated Banach space with the scalar-plus-compact   property
  We construct a Bourgain-Delbaen $\mathscr{L}_\infty$-space $\mathfrak{X}_{Kus}$ with strongly heterogenous structure: any bounded operator on $\mathfrak{X}_{Kus}$ is a compact perturbation of a multiple of the identity, whereas the space $\mathfrak{X}_{Kus}$ is saturated with unconditional basic sequences. 
Antonis Manoussakis, Anna Pelczar-Barwacz, Micha{\l} \'Swi\c{e}tek
math.FA