Theorems · Theorem · functional analysis
DoubleCentralizer.range_toProdMulOpposite
∀ {𝕜 : Type u_1} {A : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NonUnitalNormedRing A]
[inst_2 : NormedSpace 𝕜 A] [inst_3 : SMulCommClass 𝕜 A A] [inst_4 : IsScalarTower 𝕜 A A],
Set.range DoubleCentralizer.toProdMulOpposite = {lr | ∀ (x y : A), (MulOpposite.unop lr.2) x * y = x * lr.1 y}- Defined in
- Mathlib.Analysis.CStarAlgebra.Multiplier
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- RingHom.idstatement and proof · cited by 18,349
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Set.ofPredstatement and proof · cited by 6,101
- ContinuousLinearMapstatement and proof · cited by 5,352
- Set.rangestatement and proof · cited by 4,705
- IsScalarTowerstatement and proof · cited by 3,896
- Set.extproof · cited by 2,266
- SMulCommClassstatement and proof · cited by 1,927
- MulOppositestatement and proof · cited by 1,135
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