Theorems · Definition · functional analysis

TensorProduct.commIsometry

(𝕜 : Type u_1) →
  (E : Type u_2) →
    (F : Type u_3) →
      [inst : RCLike 𝕜] →
        [inst_1 : NormedAddCommGroup E] →
          [inst_2 : InnerProductSpace 𝕜 E] →
            [inst_3 : NormedAddCommGroup F] →
              [inst_4 : InnerProductSpace 𝕜 F] → TensorProduct 𝕜 E F ≃ₗᵢ[𝕜] TensorProduct 𝕜 F E

The linear isometry equivalence version of TensorProduct.comm.

Defined in

Mathlib.Analysis.InnerProductSpace.TensorProduct

Cited by

14 results in Mathlib

Foundations

Depth 245 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupInnerProductSpaceNormedAddCommGroupInnerProductSpace