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arXiv · 2409.20220

Superreflexive tensor product spaces

Abraham Rueda Zoca
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Abstract

The aim of this note is to prove that, given two superreflexive Banach spaces $X$ and $Y$, then $X\widehat{\otimes}_\pi Y$ is superreflexive if and only if either $X$ or $Y$ is finite-dimensional. In a similar way, we prove that $X\widehat{\otimes}_\varepsilon Y$ is superreflexive if and only if either $X$ or $Y$ is finite-dimensional.

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Abraham Rueda Zoca. 2024-09-30. Superreflexive tensor product spaces. https://arxiv.org/abs/2409.20220

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