Theorems · Definition · functional analysis

ContinuousLinearMap.toBilinForm

{𝕜 : Type u_2} →
  {E : Type u_5} →
    [inst : NormedField 𝕜] →
      [inst_1 : AddCommGroup E] →
        [inst_2 : Module 𝕜 E] → [inst_3 : TopologicalSpace E] → (E →L[𝕜] E →L[𝕜] 𝕜) → LinearMap.BilinForm 𝕜 E

Send a continuous bilinear form to an abstract bilinear form (forgetting continuity).

Defined in

Mathlib.Topology.Algebra.Module.Spaces.ContinuousLinearMap

Cited by

10 results in Mathlib

Foundations

Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldAddCommGroupModuleTopologicalSpace