Mathlib Map

Theorems · Theorem · functional analysis

NormedSpace.inclusionInDoubleDual_norm_eq

∀ (𝕜 : Type u_1) [inst : NontriviallyNormedField 𝕜] (E : Type u_2) [inst_1 : SeminormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E], ‖NormedSpace.inclusionInDoubleDual 𝕜 E‖ = ‖ContinuousLinearMap.id 𝕜 (StrongDual 𝕜 E)‖
Defined in
Mathlib.Analysis.Normed.Module.DoubleDual
Cited by
1 results in Mathlib
Foundations
Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldSeminormedAddCommGroupNormedSpace
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Around this declaration

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

NormedSpace.inclusionInDoubleDual_norm_le · cited by 1NormedSpace.inclusionInDo…Real · cited by 25697RealRingHom.id · cited by 18349RingHom.idNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldNorm.norm · cited by 5413Norm.normContinuousLinearMap · cited by 5352ContinuousLinearMapSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupStrongDual · cited by 459StrongDualContinuousLinearMap.id · cited by 233ContinuousLinearMap.idNormedSpace.inclusionInDoubleDual · cited by 7NormedSpace.inclusionInDo…ContinuousLinearMap.opNorm_flip · cited by 7ContinuousLinearMap.opNor…NormedSpace.inclusionInDouble…CITED BYCITES

Cites11

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Cited by1

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