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On the complex Banach conjecture

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arxiv 2006.00336 v1 pith:FSZZJMEK submitted 2020-05-30 math.MG

Javier Bracho , Luis Montejano This is my paper · ORCID
classification math.MG
keywords banachcomplexconjecturespacecongruentevengromovhere
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The complex conjecture of Stefan Banach states that if V is a Banach space over the complex numbers where for some n, 1<n<dim(V), all of its n-dimensional subspaces are isometric, then V is a Hilbert space. Mikhail Gromov proved it for n even in 1967. Here, we prove it for n congruent to 1 mod 4.

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