Theorems · Theorem · functional analysis

ContinuousMultilinearMap.nnnorm_ofSubsingleton

∀ {𝕜 : Type u} {ι : Type v} {G : Type wG} {G' : Type wG'} [inst : NontriviallyNormedField 𝕜]
  [inst_1 : SeminormedAddCommGroup G] [inst_2 : NormedSpace 𝕜 G] [inst_3 : SeminormedAddCommGroup G']
  [inst_4 : NormedSpace 𝕜 G'] [inst_5 : Fintype ι] [inst_6 : Subsingleton ι] (i : ι) (f : G →L[𝕜] G'),
  ‖(ContinuousMultilinearMap.ofSubsingleton 𝕜 G G' i) f‖₊ = ‖f‖₊

Defined in

Mathlib.Analysis.Normed.Module.Multilinear.Basic

Cited by

0 results in Mathlib

Foundations

Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldSeminormedAddCommGroupNormedSpaceSeminormedAddCommGroupNormedSpaceFintypeSubsingleton