The Szlenk power type and tensor products of Banach spaces

Draga, Szymon; Kochanek, Tomasz

doi:10.1090/proc/13339

The Szlenk power type and tensor products of Banach spaces
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by Szymon Draga and Tomasz Kochanek

Proc. Amer. Math. Soc. 145 (2017), 1685-1698

DOI: https://doi.org/10.1090/proc/13339

Published electronically: October 31, 2016

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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.

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