Theorems · Theorem · functional analysis
IsStarNormal.norm_add_eq_max
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] {a b : A},
IsStarNormal a → IsStarNormal b → Commute a b → a * b = 0 → ‖a + b‖ = max ‖a‖ ‖b‖- Cited by
- 3 results in Mathlib
- Foundations
- Depth 307 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalCStarAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- SetLike.coeproof · cited by 8,199
- Complexproof · cited by 5,565
- Norm.normstatement · cited by 5,413
- mul_commproof · cited by 2,262
- IsClosedproof · cited by 1,639
- Star.starproof · cited by 1,082
- Commutestatement and proof · cited by 639
- NonUnitalStarSubalgebraproof · cited by 196
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- IsStarNormalstatement and proof · cited by 117
- IsMulCommutativeproof · cited by 95
Cited by3
Results whose statement or proof uses this declaration.
- IsSelfAdjoint.norm_add_eq_maxproof · cited by 2
- IsStarNormal.norm_sub_eq_maxproof · cited by 1
- IsStarNormal.nnnorm_add_eq_maxproof · cited by 0