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Theorems · Theorem · functional analysis

ContinuousLinearEquiv.conjContinuousAlgEquiv_surjective

∀ (𝕜 : Type u_1) (V : Type u_2) (W : Type u_3) [inst : NontriviallyNormedField 𝕜] [inst_1 : SeminormedAddCommGroup V]
  [inst_2 : SeminormedAddCommGroup W] [inst_3 : NormedSpace 𝕜 V] [inst_4 : NormedSpace 𝕜 W] [SeparatingDual 𝕜 V]
  [SeparatingDual 𝕜 W], Function.Surjective ContinuousLinearEquiv.conjContinuousAlgEquiv
Defined in
Mathlib.Analysis.Normed.Operator.ContinuousAlgEquiv
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Foundations
Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldSeminormedAddCommGroupSeminormedAddCommGroupNormedSpaceNormedSpaceSeparatingDualSeparatingDual
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RingHom.id · cited by 18349RingHom.idNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldContinuousLinearMap · cited by 5352ContinuousLinearMapSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupContinuousLinearEquiv · cited by 743ContinuousLinearEquivContinuousAlgEquiv · cited by 105ContinuousAlgEquivSeparatingDual · cited by 24SeparatingDualContinuousLinearEquiv.conjContinuousAlgEquiv · cited by 10ContinuousLinearEquiv.con…ContinuousAlgEquiv.eq_continuousLinearEquivConjContinuousAlgEquiv · cited by 2ContinuousAlgEquiv.eq_con…ContinuousLinearEquiv.conjCon…CITED BYCITES

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