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Theorems · Definition · linear algebra

Matrix.frobeniusNormedAddCommGroup

{m : Type u_3} →
  {n : Type u_4} →
    {α : Type u_5} → [Fintype m] → [Fintype n] → [NormedAddCommGroup α] → NormedAddCommGroup (Matrix m n α)

Normed group instance (using the Frobenius norm) for matrices over a normed group. Not declared as an instance because there are several natural choices for defining the norm of a matrix.

Defined in
Mathlib.Analysis.Matrix.Normed
Cited by
1 results in Mathlib
Foundations
Depth 232 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeFintypeNormedAddCommGroup
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Matrix.frobenius_norm_mul · cited by 0Matrix.frobenius_norm_mulNormedAddCommGroup · cited by 15752NormedAddCommGroupFintype · cited by 7736FintypeMatrix · cited by 4303MatrixMatrix.frobeniusNormedAddComm…CITED BYCITES

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Cited by1

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