Theorems · Theorem · functional analysis
CStarMatrix.norm_def
∀ {m : Type u_1} {n : Type u_2} {A : Type u_5} [inst : Fintype m] [inst_1 : NonUnitalCStarAlgebra A]
[inst_2 : PartialOrder A] [inst_3 : StarOrderedRing A] [inst_4 : Fintype n] {M : CStarMatrix m n A},
‖M‖ = ‖CStarMatrix.toCLM M‖- Cited by
- 1 results in Mathlib
- Foundations
- Depth 337 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- Fintypestatement and proof · cited by 7,736
- PartialOrderstatement and proof · cited by 6,410
- Complexstatement · cited by 5,565
- Norm.normstatement · cited by 5,413
- ContinuousLinearMapstatement · cited by 5,352
- StarOrderedRingstatement and proof · cited by 587
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- CStarMatrixstatement and proof · cited by 67
Cited by1
Results whose statement or proof uses this declaration.
- CStarMatrix.normedSpaceCoreproof · cited by 0