Theorems · Definition · potential theory

tensorIteratedFDerivTwo

(𝕜 : Type u_1) →
  [inst : NontriviallyNormedField 𝕜] →
    {E : Type u_2} →
      [inst_1 : NormedAddCommGroup E] →
        [inst_2 : NormedSpace 𝕜 E] →
          {F : Type u_3} →
            [inst_3 : NormedAddCommGroup F] → [inst_4 : NormedSpace 𝕜 F] → (E → F) → E → TensorProduct 𝕜 E E →ₗ[𝕜] F

Convenience reformulation of the second iterated derivative, as a map from E to linear maps E ⊗[𝕜] E →ₗ[𝕜] F.

Defined in

Mathlib.Analysis.InnerProductSpace.Laplacian

Cited by

2 results in Mathlib

Foundations

Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace