The Eigenspace

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/Part 7: Notes/Chapter 13: Convex and Nonlinear Analysis/Section 13.5: Norms and Symmetric Convex Bodies in $\R^{n}$

Theorem 13.5.5 (John’s Proposition).label Let $C$ be an origin symmetric convex body then $\exists!$ centered ellipsoid $E$ of maximal volume in $C$ with $E\suf C\suf \sqrt{n}E$ called John’s ellipsoid[1]

  1. which is a sharp bound due to the cube geometricallykeyboard_return

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The Eigenspace

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