Theorems · Theorem · functional analysis
IsSelfAdjoint.norm_add_eq_max
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] {a b : A},
IsSelfAdjoint a → IsSelfAdjoint b → a * b = 0 → ‖a + b‖ = max ‖a‖ ‖b‖- Cited by
- 2 results in Mathlib
- Foundations
- Depth 308 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Norm.normstatement · cited by 5,413
- IsSelfAdjointstatement and proof · cited by 545
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- IsSelfAdjoint.isStarNormalproof · cited by 8
- IsStarNormal.norm_add_eq_maxproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- IsSelfAdjoint.nnnorm_add_eq_maxproof · cited by 1
- IsSelfAdjoint.norm_sub_eq_maxproof · cited by 1