Commit 2025-01-29 23:58 2ae8c98d

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feat(CStarAlgebra): matrices with entries in a C⋆-algebra (#15277) This PR creates the type CstarMatrix m n A as a copy of Matrix m n A meant for the case where A is a C⋆-algebra. Most notably, we show that square matrices with entries in a C⋆-algebra form a C⋆-algebra.

Estimated changes

added theorem CStarMatrix.add_apply
added theorem CStarMatrix.ext
added theorem CStarMatrix.ext_iff
added def CStarMatrix.map
added theorem CStarMatrix.map_apply
added theorem CStarMatrix.map_id'
added theorem CStarMatrix.map_id
added theorem CStarMatrix.map_map
added theorem CStarMatrix.mul_apply'
added theorem CStarMatrix.mul_apply
added theorem CStarMatrix.mul_smul
added theorem CStarMatrix.neg_apply
added theorem CStarMatrix.neg_of
added theorem CStarMatrix.norm_def'
added theorem CStarMatrix.norm_def
added theorem CStarMatrix.of_add_of
added theorem CStarMatrix.of_sub_of
added theorem CStarMatrix.of_zero
added theorem CStarMatrix.one_apply
added theorem CStarMatrix.smul_apply
added theorem CStarMatrix.smul_mul
added theorem CStarMatrix.smul_of
added theorem CStarMatrix.sub_apply
added theorem CStarMatrix.zero_apply
added def CStarMatrix