Level 1: Lipschitz Equivalent Separable Banach Spaces Need Not Be Linearly Isomorphic

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LEVEL 1 OF 2 · Lipschitz equivalence without linear isomorphism

Lipschitz Equivalent Separable Banach Spaces Need Not Be Linearly Isomorphic

expertly designed by an internal OpenAI model · released 2026-09-24 · original PDF

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How to play: 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.

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