Almost transition-probability-preserving maps on finite-dimensional Banach spaces admit linear approximations whose quality depends on the spaces' type and cotype constants.
Accordingly, from C2(Sd 2 ) = 1 and Theorem 2 there exist a linear map H : Sd 2 → Sd 2 such that for all x ∈ BSd 2 ∥F (x) − H(x)∥2 ≤ 32(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.