Theorems · Definition · functional analysis

PointwiseConvergenceCLM.coeLM

(𝕜 : Type u_3) →
  [inst : NormedField 𝕜] →
    (E : Type u_7) →
      (F : Type u_8) →
        [inst_1 : AddCommGroup E] →
          [inst_2 : TopologicalSpace E] →
            [inst_3 : AddCommGroup F] →
              [inst_4 : TopologicalSpace F] →
                [inst_5 : IsTopologicalAddGroup F] →
                  [inst_6 : Module 𝕜 E] →
                    [inst_7 : Module 𝕜 F] → [inst_8 : ContinuousConstSMul 𝕜 F] → (E →Lₚₜ[𝕜] F) →ₗ[𝕜] E →ₗ[𝕜] F

Coercion from E →Lₚₜ[𝕜] F to E →ₗ[𝕜] F as a 𝕜-linear map.

Defined in

Mathlib.Topology.Algebra.Module.Spaces.PointwiseConvergenceCLM

Cited by

1 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldAddCommGroupTopologicalSpaceAddCommGroupTopologicalSpaceIsTopologicalAddGroupModuleModuleContinuousConstSMul