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arXiv · 2512.04628

A solution to Banach conjecture

Ning Zhang
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Abstract

In this paper, we begin by constructing global linear maps on (n-2)-dimensional subspaces, derived from the local continuity of linear transformations among central sections of a convex body. Using these linear maps, we subsequently establish a full proof of Banach's isometric subspace problem in finite-dimensional spaces, extending Gromov's earlier results.

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Ning Zhang. 2025-12-04. A solution to Banach conjecture. https://arxiv.org/abs/2512.04628

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