Theorems · Definition · functional analysis

GeneralSchauderBasis.proj

{𝕜 : Type u_1} →
  [inst : NontriviallyNormedField 𝕜] →
    {X : Type u_2} →
      [inst_1 : NormedAddCommGroup X] →
        [inst_2 : NormedSpace 𝕜 X] →
          {β : Type u_3} → {L : SummationFilter β} → GeneralSchauderBasis β 𝕜 X L → Finset β → X →L[𝕜] X

Projection onto a finite set of basis vectors.

Defined in

Mathlib.Analysis.Normed.Module.Bases

Cited by

15 results in Mathlib

Foundations

Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpace