OAI/Analysis/Daugavet/MeasureDistance.lean
6 declarations, 0 contain sorry, 0 declared as axioms
- lemma
OAI.ExactModuli.measureDistance_selfline 15 - lemma
OAI.ExactModuli.measureDistance_symmline 22 - lemma
OAI.ExactModuli.measureDistance_triangleline 26 - lemma
OAI.ExactModuli.measureDistance_le_of_norm_sub_lt_sqline 50Source documentation
Markov's norm-to-measure estimate, in a form avoiding an unnecessary metric instance.
lemma measureDistance_le_of_norm_sub_lt_sq (f g : Lp ℝ 1 μ) {ε : ℝ} (hε : 0 < ε) (hfg : ‖f - g‖ < ε ^ 2) : measureDistance μ f g ≤ ε := by …Mentions: OAI.ExactModuli.measureDistance
- lemma
OAI.ExactModuli.KW.normalizeL1_approxline 70 - lemma
OAI.ExactModuli.KW.sphere_normalize_approxline 93