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DUAL $L_{p}$ JOHN ELLIPSOIDS
Published online by Cambridge University Press: 08 January 2008
Abstract
In this paper, the dual $L_p$ John ellipsoids, which include the classical Löwner 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.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 50 , Issue 3 , October 2007 , pp. 737 - 753
- Copyright
- Copyright © Edinburgh Mathematical Society 2007
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