Theorems · Theorem · functional analysis
nnnorm_cfcHom
∀ {𝕜 : Type u_1} {A : Type u_2} {p : outParam (A → Prop)} [inst : RCLike 𝕜] [inst_1 : NormedRing A]
[inst_2 : StarRing A] [inst_3 : NormedAlgebra 𝕜 A] [inst_4 : IsometricContinuousFunctionalCalculus 𝕜 A p] (a : A)
(f : C(↑(spectrum 𝕜 a), 𝕜)) (ha : autoParam (p a) nnnorm_cfcHom._auto_1), ‖(cfcHom ⋯) f‖₊ = ‖f‖₊- Cited by
- 0 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- NNRealstatement · cited by 4,310
- RCLikestatement and proof · cited by 2,829
- ContinuousMapstatement and proof · cited by 2,491
- StarRingstatement and proof · cited by 1,686
- NormedAlgebrastatement and proof · cited by 1,165
- NNNorm.nnnormstatement · cited by 952
- NormedRingstatement and proof · cited by 924
- spectrumstatement and proof · cited by 510
- StarAlgHomstatement · cited by 215
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