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feat(Analysis/CStarAlgebra/Matrix): add CStarAlgebra instance for matrices #41518

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feat(Analysis/CStarAlgebra/Matrix): add CStarAlgebra instance for matrices #41518

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63ba1b8
Add CStarAlgebra instance for Matrix n n ℂ
judsonpereirademoura-netizen Jul 9, 2026
ada451f
Update instance definition for CStarAlgebra
judsonpereirademoura-netizen Jul 9, 2026
9ec572e
Refactor instCStarAlgebra definition in Matrix.lean
judsonpereirademoura-netizen Jul 9, 2026
59bc322
Update Mathlib/Analysis/CStarAlgebra/Matrix.lean
judsonpereirademoura-netizen Jul 9, 2026
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7 changes: 7 additions & 0 deletions Mathlib/Analysis/CStarAlgebra/Matrix.lean
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Expand Up @@ -5,6 +5,7 @@ Authors: Hans Parshall
-/
module

public import Mathlib.Analysis.CStarAlgebra.Classes
public import Mathlib.Analysis.InnerProductSpace.Adjoint
public import Mathlib.Analysis.Matrix.Normed
public import Mathlib.Analysis.RCLike.Basic
Expand Down Expand Up @@ -289,6 +290,12 @@ lemma instCStarRing : CStarRing (Matrix n n 𝕜) where

scoped[Matrix.Norms.L2Operator] attribute [instance] Matrix.instCStarRing

/-- The matrices Matrix n n ℂ with the L2 operator norm form a CStarAlgebra. -/
@[instance_reducible] noncomputable def instCStarAlgebra {n : Type*} [Fintype n] [DecidableEq n] :
CStarAlgebra (Matrix n n ℂ) where

scoped[Matrix.Norms.L2Operator] attribute [instance] Matrix.instCStarAlgebra

end Matrix

end L2OpNorm
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