Theorems · Inductive type · functional analysis
NonUnitalNormedRing
Type u_5 → Type u_5
A non-unital normed ring is a not-necessarily-unital ring
endowed with a norm which satisfies the inequality ‖x y‖ ≤ ‖x‖ ‖y‖.
- Defined in
- Mathlib.Analysis.Normed.Ring.Basic
- Cited by
- 231 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by279
Results whose statement or proof uses this declaration.
- CStarRingstatement · cited by 61
- DoubleCentralizerstatement · cited by 59
- DoubleCentralizer.toProdstatement and proof · cited by 49
- CStarRing.norm_star_mul_selfstatement and proof · cited by 16
- cfcₙAuxstatement and proof · cited by 11
- Unitization.norm_inrstatement and proof · cited by 8
- Unitization.normedRingAuxstatement and proof · cited by 8
- compactlySupportedstatement and proof · cited by 8
- Unitization.isometry_inrstatement and proof · cited by 7
- Unitization.splitMulstatement and proof · cited by 6
- IsGreatest.nnnorm_cfcₙ_nnrealstatement and proof · cited by 5
- IsGreatest.norm_cfcₙstatement and proof · cited by 5
Showing the 200 most cited of 279.