Theorems · Theorem · functional analysis
PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] (f : A →ₚ[ℂ] ℂ) [inst_2 : StarOrderedRing A]
{a : A} {b : f.PreGNS}, (f.gnsNonUnitalStarAlgHom a) ↑b = ↑((f.leftMulMapPreGNS a) b)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 325 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- PartialOrderstatement and proof · cited by 6,410
- Complexstatement and proof · cited by 5,565
- ContinuousLinearMapstatement · cited by 5,352
- StarOrderedRingstatement and proof · cited by 587
- NonUnitalStarAlgHomstatement · cited by 208
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- UniformSpace.Completion.coe'statement and proof · cited by 144
- Complex.partialOrderstatement · cited by 64
- PositiveLinearMapstatement and proof · cited by 52
- PositiveLinearMap.PreGNSstatement and proof · cited by 10
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