Resumen de About the Banach Envelope of l1,8

Albrecht Pietsch

• We study the Banach envelope of the quasi-Banach space l1,8 consisting of all sequences x=(E k) with sn(x)=O(1/n), where (sn (x)) denotes the non-increasing rearrangement of x=(E k) The situation turns out to be much more complicated than that in the well-known case of the separable subspace lo1,8, whose members are characterized by sn(x) =o(1/n).