Theorems · Theorem · linear algebra
Matrix.frobenius_nnnorm_conjTranspose
∀ {m : Type u_3} {n : Type u_4} {α : Type u_5} [inst : Fintype m] [inst_1 : Fintype n]
[inst_2 : SeminormedAddCommGroup α] [inst_3 : StarAddMonoid α] [NormedStarGroup α] (A : Matrix m n α),
‖A.conjTranspose‖₊ = ‖A‖₊- Defined in
- Mathlib.Analysis.Matrix.Normed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 232 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.
- Fintypestatement and proof · cited by 7,736
- NNRealstatement · cited by 4,310
- Matrixstatement and proof · cited by 4,303
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Star.starproof · cited by 1,082
- NNNorm.nnnormstatement · cited by 952
- Matrix.transposeproof · cited by 389
- StarAddMonoidstatement and proof · cited by 296
- Matrix.conjTransposestatement · cited by 202
- NormedStarGroupstatement and proof · cited by 54
- Matrix.frobeniusSeminormedAddCommGroupstatement · cited by 18
- nnnorm_starproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.frobenius_norm_conjTransposeproof · cited by 0