Dual L(p) John ellipsoids

作者:Yu Wuyang*; Leng Gangsong; Wu Donghua
来源:Proceedings of the Edinburgh Mathematical Society, 2007, 50: 737-753.
DOI:10.1017/S0013091506000332

摘要

In this paper, the dual L(p) John ellipsoids, which include the classical Lowner ellipsoid and the Legendre ellipsoid, are studied. The dual L(p) versions of John's inclusion and Ball's volume-ratio inequality are shown. This insight allows for a unified view of some basic results in convex geometry and reveals further the amazing duality between Brunn-Minkowski theory and dual Brunn-Minkowski theory.