Theorems · Definition · linear algebra
Matrix.toLpLinAlgEquiv
{n : Type u_2} →
{R : Type u_4} →
[inst : Fintype n] →
[inst_1 : DecidableEq n] →
[inst_2 : CommRing R] → (p : ENNReal) → Matrix n n R ≃ₐ[R] Module.End R (WithLp p (n → R))Matrix.toLinAlgEquiv' adapted for PiLp R _.
- Defined in
- Mathlib.Analysis.Normed.Lp.Matrix
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEqCommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- ENNRealstatement and proof · cited by 9,879
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- AlgEquivstatement · cited by 1,681
- Module.Endstatement · cited by 774
- WithLpstatement · cited by 345
- Matrix.toLpLinproof · cited by 14
- AlgEquiv.ofLinearEquivproof · cited by 7
- Matrix.toLpLin_mulproof · cited by 2
- Matrix.toLpLin_oneproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Matrix.toLpLin_powproof · cited by 0
- Matrix.toLpLin_symm_powproof · cited by 0
- Matrix.toLpLinAlgEquiv_apply_apply_ofLpstatement and proof · cited by 0
- Matrix.toLpLinAlgEquiv_symm_applystatement and proof · cited by 0