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Theorems · Theorem · functional analysis

WeakDual.withSeminorms

∀ (𝕜 : Type u_1) (E : Type u_3) [inst : NontriviallyNormedField 𝕜] [inst_1 : SeminormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E], WithSeminorms (WeakDual.seminormFamily 𝕜 E)
Defined in
Mathlib.Analysis.Normed.Module.WeakDual
Cited by
1 results in Mathlib
Foundations
Depth 169 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.

WeakDual.isBounded_iff_isVonNBounded · cited by 0WeakDual.isBounded_iff_is…NormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupWeakDual · cited by 103WeakDualWithSeminorms · cited by 69WithSeminormstopDualPairing · cited by 24topDualPairingWeakDual.seminormFamily · cited by 3WeakDual.seminormFamilyLinearMap.weakBilin_withSeminorms · cited by 2LinearMap.weakBilin_withS…WeakDual.withSeminormsCITED BYCITES

Cites8

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Cited by1

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