The 2-concavification of a Banach lattice equals the diagonal of the   Fremlin tensor square
  We investigate the relationship between the diagonal of the Fremlin projective tensor product of a Banach lattice $E$ with itself and the 2-concavification of $E$. 
Qingying Bu, Gerard Buskes, Alexey I. Popov, Adi Tcaciuc, Vladimir G.   Troitsky
math.FA