Theorems · Definition · functional analysis
GeneralSchauderBasis.coord
{β : Type u_3} →
{𝕜 : Type u_4} →
{X : Type u_5} →
[inst : NontriviallyNormedField 𝕜] →
[inst_1 : NormedAddCommGroup X] →
[inst_2 : NormedSpace 𝕜 X] → {L : SummationFilter β} → GeneralSchauderBasis β 𝕜 X L → β → StrongDual 𝕜 XCoordinate functionals.
- Defined in
- Mathlib.Analysis.Normed.Module.Bases
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- SummationFilterstatement and proof · cited by 607
- StrongDualstatement · cited by 459
- GeneralSchauderBasisstatement and proof · cited by 16
Cited by14
Results whose statement or proof uses this declaration.
- GeneralSchauderBasis.projproof · cited by 15
- GeneralSchauderBasis.proj_applystatement and proof · cited by 6
- GeneralSchauderBasis.orthostatement · cited by 3
- GeneralSchauderBasis.expansionstatement · cited by 2
- GeneralSchauderBasis.range_proj_eq_spanproof · cited by 2
- GeneralSchauderBasis.extstatement and proof · cited by 1
- UnconditionalSchauderBasis.exists_norm_proj_leproof · cited by 1
- GeneralSchauderBasis.linearIndependentproof · cited by 1
- GeneralSchauderBasis.proj_compproof · cited by 1
- SchauderBasis.proj_applystatement and proof · cited by 1
- GeneralSchauderBasis.ext_iffstatement and proof · cited by 0
- SchauderBasis.RankOneDecomposition.basis_projproof · cited by 0