OpenAI reports nontrivial Markov type forces superreflexivity

Every real Banach space with Markov type p>1 for some p is superreflexive; with the established converse, nontrivial Markov type characterizes superreflexivity.

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Understanding the problem

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Every real Banach space with Markov type p>1 for some p is superreflexive; with the established converse, nontrivial Markov type characterizes superreflexivity.

Why it matters

If correct, gives a Markov-chain metric characterization of superreflexivity.

What counts as progress

Does nontrivial Markov type characterize superreflexive Banach spaces?

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