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The Szlenk power type and tensor products of Banach spaces (1604.03461v1)
Published 12 Apr 2016 in math.FA
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.