Theorems · Theorem · functional analysis
Matrix.cstar_norm_def
∀ {𝕜 : Type u_1} {n : Type u_3} [inst : RCLike 𝕜] [inst_1 : Fintype n] [inst_2 : DecidableEq n] (A : Matrix n n 𝕜),
‖A‖ = ‖Matrix.toEuclideanCLM A‖This is the same as Matrix.l2_opNorm_def, but with a more bundled RHS for square matrices.
- Defined in
- Mathlib.Analysis.CStarAlgebra.Matrix
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 238 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLikeFintypeDecidableEq
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Cites12
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
- ENNRealstatement · cited by 9,879
- Fintypestatement and proof · cited by 7,736
- Norm.normstatement · cited by 5,413
- ContinuousLinearMapstatement · cited by 5,352
- Matrixstatement and proof · cited by 4,303
- RCLikestatement and proof · cited by 2,829
- EuclideanSpacestatement · cited by 307
- StarAlgEquivstatement · cited by 132
- Matrix.toEuclideanCLMstatement · cited by 12
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