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Generalized volume ratios and the Banach-Mazur distance.

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Publication:1810020
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DOI10.1023/A:1012920103463zbMath1048.46019OpenAlexW22344515MaRDI QIDQ1810020

A. I. Khrabrov

Publication date: 15 June 2003

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1012920103463


zbMATH Keywords

normed spaceBanach spaceBanach-Mazur distancevolume ratiomodified Banach-Mazur distance


Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)


Related Items (4)

On the volume ratio of projections of convex bodies ⋮ Estimates of distances between sums of the spaces \(\ell_{n}^{p}\). II ⋮ Asymptotic estimates for the largest volume ratio of a convex body ⋮ Volume ratios for Cartesian products of convex bodies




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