Theorems · Theorem · functional analysis

ContinuousMultilinearMap.norm_mkPiAlgebra

∀ {𝕜 : Type u} {ι : Type v} [inst : NontriviallyNormedField 𝕜] [inst_1 : Fintype ι] {A : Type u_1}
  [inst_2 : NormedCommRing A] [inst_3 : NormedAlgebra 𝕜 A] [NormOneClass A],
  ‖ContinuousMultilinearMap.mkPiAlgebra 𝕜 ι A‖ = 1

Defined in

Mathlib.Analysis.Normed.Module.Multilinear.Basic

Cited by

2 results in Mathlib

Foundations

Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldFintypeNormedCommRingNormedAlgebraNormOneClass