Theorems · Definition · functional analysis

topDualPairing

(𝕜 : Type u_1) →
  (E : Type u_2) →
    [inst : CommSemiring 𝕜] →
      [inst_1 : TopologicalSpace 𝕜] →
        [inst_2 : ContinuousAdd 𝕜] →
          [inst_3 : AddCommMonoid E] →
            [inst_4 : Module 𝕜 E] →
              [inst_5 : TopologicalSpace E] → [inst_6 : ContinuousConstSMul 𝕜 𝕜] → (E →L[𝕜] 𝕜) →ₗ[𝕜] E →ₗ[𝕜] 𝕜

The canonical pairing of a vector space and its topological dual.

Defined in

Mathlib.Topology.Algebra.Module.ContinuousLinearMap.Basic

Cited by

24 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringTopologicalSpaceContinuousAddAddCommMonoidModuleTopologicalSpaceContinuousConstSMul