Extremal inscribed and circumscribed complex ellipsoids
Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:Z5DQ5LPZrecord.jsonopen to challenge →
classification
math.MG
keywords
complexcircumscribedinscribedotherprovevolumeanalogeapplication
read the original abstract
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 elipsoid of minimal volume is unique. As application we prove the complex analoge of Brunn's characterization of ellipsods.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.