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math.MG2022
An overview of complex ellipsoids
Jorge Luis Arocha, Javier Bracho, Luis Montejano
An ellipsoid is the image of a ball under an affine transformation. If this affine transformation is over the complex numbers, we refer to it as a complex ellipsoid. Characterizati…
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,…