On the complex Banach conjecture

Javier Bracho; Luis Montejano

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

On the complex Banach conjecture

Javier Bracho , Luis Montejano This is my paper

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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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On the complex Banach conjecture

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