Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 327-01. Nontrivial Markov Type Forces Superreflexivity
Manuscript map · lines 8735–8744
OpenAI@2026-10-07#rem:oai-p-327-01
Authors: OpenAI. Family 327.
Title: Nontrivial Markov Type Forces Superreflexivity.
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.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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