Theorems · Theorem · functional analysis

Matrix.l2_opNorm_mul

∀ {𝕜 : Type u_1} {m : Type u_2} {n : Type u_3} {l : Type u_4} [inst : RCLike 𝕜] [inst_1 : Fintype m]
  [inst_2 : Fintype n] [inst_3 : DecidableEq n] [inst_4 : Fintype l] [inst_5 : DecidableEq l] (A : Matrix m n 𝕜)
  (B : Matrix n l 𝕜), ‖A * B‖ ≤ ‖A‖ * ‖B‖

Defined in

Mathlib.Analysis.CStarAlgebra.Matrix

Cited by

1 results in Mathlib

Foundations

Depth 230 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeFintypeFintypeDecidableEqFintypeDecidableEq