LinearMap.toSeminorm

{𝕜 : Type u_1} →
  {E : Type u_2} →
    [inst : NormedField 𝕜] → [inst_1 : AddCommGroup E] → [inst_2 : Module 𝕜 E] → (E →ₗ[𝕜] 𝕜) → Seminorm 𝕜 E

Construct a seminorm from a linear form f : E →ₗ[𝕜] 𝕜 over a normed field 𝕜 by fun x => ‖f x‖

Defined in: Mathlib.Analysis.LocallyConvex.WeakDual
Cited by: 6 results in Mathlib
Foundations: Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedField AddCommGroup Module

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