2 problems

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Negative superreflexive snowflake-to-Hilbert conjecture
Negative superreflexive snowflake conjecture. There exists a superreflexive Banach space $X$ such that no $\upomega(X)$ -snowflake of $X$ , for any $\upomega(X)\in(0,1]$ , embeds with…
Conjectureopenbanach-spaces metric-embeddings superreflexivityarXiv posted 2 days ago
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Pisier's conjecture on superreflexive Banach spaces
Pisier's conjecture. Every superreflexive Banach space is a subspace of a quotient of a strictly $\theta$ -Hilbertian Banach space for some $\theta>0$ .
Conjectureopenbanach-spaces functional-analysis superreflexivityarXiv posted 2 days ago

Negative superreflexive snowflake-to-Hilbert conjecture