Almost transition-probability-preserving maps on finite-dimensional Banach spaces admit linear approximations whose quality depends on the spaces' type and cotype constants.
Tomczak-Jaegermann, Banach-Mazur distances and finite-dimensional operator id eals, Longman Scientific & Technical (1989)
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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.