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math.MG2020
Extremal inscribed and circumscribed complex ellipsoids
Jorge L. Arocha, Javier Bracho, Luis Montejano
We prove that if a convex set in Cn contains two inscribed complex ellipsoid of maximal volume then one is a translate of the other. On the other hand, the circumscribed complex el…
math.MG2020★ 3 cited
On the complex Banach conjecture
Javier Bracho, Luis Montejano
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,…
math.CO2020
Strongly involutive self-dual polyhedra
Javier Bracho, Luis Montejano, Eric Pauli +1
A polyhedron is a graph which is simple, planar and 3-connected. In this note, we classify the family of strongly involutive self-dual polyhedra. The latter is done by using a…