Preprint in the OpenAI Math release
Nontrivial Markov Type Forces Superreflexivity
OpenAI
Abstract
We prove that every real Banach space with Markov type p > 1 is superreflexive. Together with the known converse, this characterizes superreflexivity by nontrivial Markov type. This answers Naor's question: every real Banach space with nontrivial Markov type admits an equivalent uniformly smooth norm.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
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