Theorems · Theorem · functional analysis
Matrix.l2_opNorm_conjTranspose_mul_self
∀ {𝕜 : Type u_1} {m : Type u_2} {n : Type u_3} [inst : RCLike 𝕜] [inst_1 : Fintype m] [inst_2 : Fintype n]
[inst_3 : DecidableEq n] (A : Matrix m n 𝕜), ‖A.conjTranspose * A‖ = ‖A‖ * ‖A‖- Defined in
- Mathlib.Analysis.CStarAlgebra.Matrix
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 231 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idproof · cited by 18,349
- LinearMapproof · cited by 10,215
- Fintypestatement and proof · cited by 7,736
- Norm.normstatement and proof · cited by 5,413
- ContinuousLinearMapproof · cited by 5,352
- Matrixstatement and proof · cited by 4,303
- LinearEquivproof · cited by 3,317
- RCLikestatement and proof · cited by 2,829
- LinearMap.compproof · cited by 1,642
- Module.Basisproof · cited by 1,477
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.l2_opNNNorm_conjTranspose_mul_selfproof · cited by 0