Almost transition-probability-preserving maps on finite-dimensional Banach spaces admit linear approximations whose quality depends on the spaces' type and cotype constants.
Hence, from Lemma 6 with n = 4d2 T2(Z) ≤ 4(1 + √
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(Co-)type and the linear stability of Wigner's symmetry theorem
Almost transition-probability-preserving maps on finite-dimensional Banach spaces admit linear approximations whose quality depends on the spaces' type and cotype constants.