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.
- 出版日期2007-10
- 单位上海大学