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Norm of infinite doubly stochastic matrices

math.FA · 2026-06-23 · unverdicted · novelty 6.0

For 1<p<∞, ||D||_{ℓ^p→ℓ^p}=1 if and only if Θ(D^*D)=1, where Θ is the maximal average mass of any finite square submatrix.

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  • Norm of infinite doubly stochastic matrices math.FA · 2026-06-23 · unverdicted · none · ref 6

    For 1<p<∞, ||D||_{ℓ^p→ℓ^p}=1 if and only if Θ(D^*D)=1, where Θ is the maximal average mass of any finite square submatrix.