A solution to Banach conjecture
Functional Analysis
2026-04-07 v10 Metric Geometry
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.
Cite
@article{arxiv.2512.04628,
title = {A solution to Banach conjecture},
author = {Ning Zhang},
journal= {arXiv preprint arXiv:2512.04628},
year = {2026}
}