Theorems · Theorem · functional analysis
nnnorm_star
∀ {E : Type u_2} [inst : SeminormedAddCommGroup E] [inst_1 : StarAddMonoid E] [NormedStarGroup E] (x : E),
‖star x‖₊ = ‖x‖₊- Defined in
- Mathlib.Analysis.CStarAlgebra.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement · cited by 4,310
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Star.starstatement · cited by 1,082
- NNNorm.nnnormstatement · cited by 952
- StarAddMonoidstatement and proof · cited by 296
- NormedStarGroupstatement and proof · cited by 54
- norm_starproof · cited by 16
Cited by4
Results whose statement or proof uses this declaration.
- DoubleCentralizer.norm_fst_eq_sndproof · cited by 3
- Matrix.frobenius_nnnorm_conjTransposeproof · cited by 1
- Matrix.nnnorm_conjTransposeproof · cited by 1
- Matrix.frobenius_nnnorm_mulproof · cited by 1