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arXiv · 2212.05049

An overview of complex ellipsoids

Jorge Luis Arocha·Javier Bracho·Luis Montejano
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Abstract

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. Characterizations of real ellipsoids have received much attention over the years however, characterizations of complex ellipsoids have been studied very little. This paper is a review of what is known about complex ellipsoids from the point of view of convex geometry. In particular, the proof of the Complex Banach Conjecture.

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Jorge Luis Arocha, Javier Bracho, Luis Montejano. 2022-12-09. An overview of complex ellipsoids. https://arxiv.org/abs/2212.05049

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