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Preprint in the OpenAI Math release

Lipschitz Equivalent Separable Banach Spaces Need Not Be Linearly Isomorphic

OpenAI

Abstract

There are separable real Banach spaces that are globally bi-Lipschitz equivalent but not linearly isomorphic. This gives a negative answer to the separable Banach-space Lipschitz-isomorphism problem.

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

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