Abstract
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 R n (for n ≥ 10) have smaller volume than those of the Euclidean ball of volume 1.
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© 1988 Springer-Verlag
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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. https://doi.org/10.1007/BFb0081743
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DOI: https://doi.org/10.1007/BFb0081743
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