On the complex Banach conjecture

Javier Bracho; Luis Montejano

REVIEW

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

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

classification math.MG

keywords banachcomplexconjecturespacecongruentevengromovhere

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

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.

On the complex Banach conjecture

discussion (0)