论文标题
复杂椭圆形的概述
An overview of complex ellipsoids
论文作者
论文摘要
椭圆形是仿射转化下的球的图像。如果这种仿射变换超过复数，我们将其称为一个复杂的椭圆形。多年来，真正的椭圆形的特征受到了很多关注，对复杂的椭圆形的特征很少。本文是对复杂椭圆形的综述，从凸几何的角度来看。特别是复杂的Banach猜想的证明。
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.
