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Theorems · Definition · functional analysis

TensorProduct.ridIsometry

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

The linear isometry equivalence version of TensorProduct.rid.

Defined in
Mathlib.Analysis.InnerProductSpace.TensorProduct
Cited by
9 results in Mathlib
Foundations
Depth 246 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RCLikeNormedAddCommGroupInnerProductSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

TensorProduct.norm_rid · cited by 1TensorProduct.norm_ridTensorProduct.enorm_rid · cited by 0TensorProduct.enorm_ridTensorProduct.toLinearEquiv_ridIsometry · cited by 0TensorProduct.toLinearEqu…TensorProduct.symm_ridIsometry_apply · cited by 0TensorProduct.symm_ridIso…TensorProduct.ridIsometry_apply · cited by 0TensorProduct.ridIsometry…TensorProduct.commIsometry_trans_lidIsometry · cited by 0TensorProduct.commIsometr…TensorProduct.toContinuousLinearMap_symm_ridIsometry · cited by 0TensorProduct.toContinuou…TensorProduct.lidIsometry_eq_ridIsometry · cited by 0TensorProduct.lidIsometry…TensorProduct.commIsometry_trans_ridIsometry · cited by 0TensorProduct.commIsometr…RingHom.id · cited by 18349RingHom.idNormedAddCommGroup · cited by 15752NormedAddCommGroupInnerProductSpace · cited by 3523InnerProductSpaceRCLike · cited by 2829RCLikeTensorProduct · cited by 2545TensorProductLinearIsometryEquiv · cited by 748LinearIsometryEquivTensorProduct.rid · cited by 63TensorProduct.ridLinearEquiv.isometryOfInner · cited by 3LinearEquiv.isometryOfInn…TensorProduct.inner_rid_rid · cited by 0TensorProduct.inner_rid_r…TensorProduct.ridIsometryCITED BYCITES

Cites9

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Cited by9

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