Volume ratios and a reverse isoperimetric inequality
Abstract
It is shown that if C is an /j-dimensional convex body then there is an affine image C of C for which |3C|/|C|<n"1)/n is no larger than the corresponding expression for a regular n-dimensional 'tetrahedron'. It is also shown that among M-dimensional subspaces of Lp (for each/je[l, oo]), / £ has maximal volume ratioSimilar works
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