Geometric Aspects of Functional Analysis pp 224-231
Some remarks on the geometry of convex sets
- Cite this paper as:
- Ball K. (1988) Some remarks on the geometry of convex sets. In: Lindenstrauss J., Milman V.D. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1317. Springer, Berlin, Heidelberg
We prove a strengthening of Santalo's inequality for the unit balls of normed spaces with 1-unconditional bases and observe that all central sections of the unit cube in Rn (for n ≥ 10) have smaller volume than those of the Euclidean ball of volume 1.
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