Open Research Index

Dimension-independent Hlawka constants for Schatten norms

Ezzeri Esa

Palomar Registrypalomar/PALOMAR-2026-09-25-000006Sep 25, 2026math.FAscore 0

For every Schatten p-norm with 1 = 256, the sharp constant is an explicit maximum over a one-parameter cyclic family: it holds in every dimension and cannot be lowered in any dimension at least three.

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