Theorems · Theorem · functional analysis

HilbertBasis.toSchauderBasis_coord

∀ {𝕜 : Type u_2} [inst : RCLike 𝕜] {E : Type u_3} [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
  (b : HilbertBasis ℕ 𝕜 E) (i : ℕ), b.toSchauderBasis.coord i = (innerSL 𝕜) (b i)

Defined in

Mathlib.Analysis.InnerProductSpace.l2Space

Cited by

0 results in Mathlib

Foundations

Depth 240 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupInnerProductSpace