Generalized Volume Ratios and the Banach--Mazur Distance

A. I. Khrabrov

Matematičeskie zametki, Tome 70 (2001) no. 6, pp. 918-926.

Résumé

The classical and modified Banach–Mazur distances are studied. A relation between the modified distance and the volume ratios is established. The volume ratios are calculated for the spaces $\ell _n^p$ and their sums are estimated for arbitrary finite-dimensional spaces.

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