Theorems · Theorem · functional analysis
cfcHom_real_eq_restrict
∀ {A : Type u_1} [inst : TopologicalSpace A] [inst_1 : Ring A] [inst_2 : StarRing A] [inst_3 : Algebra ℂ A]
[inst_4 : ContinuousFunctionalCalculus ℂ A IsStarNormal] [T2Space A] {a : A} (ha : IsSelfAdjoint a),
cfcHom ha = SpectrumRestricts.starAlgHom (cfcHom ⋯) ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- RingHom.idstatement · cited by 18,349
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Set.Elemstatement · cited by 7,166
- Complexstatement and proof · cited by 5,565
- ContinuousLinearMapstatement · cited by 5,352
- ContinuousMapstatement · cited by 2,491
- StarRingstatement and proof · cited by 1,686
- T2Spacestatement and proof · cited by 1,351
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