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Theorems · Theorem · complex analysis

Complex.HadamardThreeLines.sSupNormIm_eps_pos

∀ {E : Type u_1} [inst : NormedAddCommGroup E] (f : ℂ → E) {ε : ℝ},
  ε > 0 → ∀ (x : ℝ), 0 < ε + Complex.HadamardThreeLines.sSupNormIm f x

sSup of norm translated by ε > 0 is positive applied to the image of f on the vertical line re z = x

Defined in
Mathlib.Analysis.Complex.Hadamard
Cited by
6 results in Mathlib
Foundations
Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroup

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