The Szlenk power type and tensor products of Banach spaces
  We prove a formula for the Szlenk power type of the injective tensor product of Banach spaces with Szlenk index at most $\omega$. We also show that the Szlenk power type as well as summability of the Szlenk index are separably determined, and we extend some of our recent results concerning direct sums. 
Szymon Draga, Tomasz Kochanek
math.FA