S. Reisner

activity

19922018

most citedLocal minimality of the volume-product at the simplex

18 citations · 33 across the 9 of their papers we have counts for

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3 papers · 1 filter

math.FA2010★ 4 cited

A note on Mahler's conjecture

Shlomo Reisner, Carsten Schütt, Elisabeth M. Werner

Let $K$ be a convex body in $R^{n}$ with Santaló point at 0\. We show that if $K$ has a point on the boundary with positive generalized Gauß curvature, then the volume produ…

math.FA2010

The GL-l.u.st.\ constant and asymmetry of the Kalton-Peck twisted sum in finite dimensions

Y. Gordon, M. Junge, M. Meyer +1

We prove that the Kalton-Peck twisted sum $Z_{2}^{n}$ of $n$ -dimensional Hilbert spaces has GL-l.u.st.\ constant of order $lo g n$ and bounded GL constant. This is the first concrete e…

math.FA1992

The volume of the intersection of a convex body with its translates

Mathieu Meyer, Shlomo Reisner, M. Schmuckenschlager

It is proved that for a symmetric convex body K in R^n, if for some tau > 0, |K cap (x+tau K)| depends on ||x||_K only, then K is an ellipsoid. As a part of the proof, smoothness p…