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A solution to Banach conjecture
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🧮 math.FA
math.MG
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linearbanachmapsbeginbodycentralconjectureconstructing
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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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