Year: 2021
Type: article
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 = 1 mod 4.
Source: Journal of convex analysis
DOI: 10.68381/jca28071
Authors: Javier Bracho, Luis Montejano
Institution: Universidad Nacional Autónoma de México
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W3030244375