This is an announcement for the paper “The Szlenk power type and tensor products of Banach spaces” by Szymon Draga and Tomasz Kochanek.

Abstract: 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.

The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1604.03461