Theorems · Definition · functional analysis
RKHS.coeCLM
(𝕜 : outParam (Type u_1)) →
{H : Type u_2} →
{X : outParam (Type u_3)} →
{V : outParam (Type u_4)} →
{inst : RCLike 𝕜} →
{inst_1 : NormedAddCommGroup V} →
{inst_2 : InnerProductSpace 𝕜 V} →
{inst_3 : NormedAddCommGroup H} → {inst_4 : InnerProductSpace 𝕜 H} → [self : RKHS 𝕜 H X V] → H →L[𝕜] X → VContinuous injection to functions from the reproducing kernel Hilbert space H to functions
from the domain X to the Hilbert space V
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RKHS
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.
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- ContinuousLinearMapstatement · cited by 5,352
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- RKHSstatement and proof · cited by 28
Cited by14
Results whose statement or proof uses this declaration.
- RKHS.kerFunproof · cited by 17
- RKHS.adjoint_kerFunproof · cited by 2
- RKHS.kernel_applyproof · cited by 2
- RKHS.coe_subproof · cited by 1
- RKHS.coe_zeroproof · cited by 1
- RKHS.coeCLM_applystatement · cited by 0
- RKHS.coeCLM_injectivestatement · cited by 0
- RKHS.coe_addproof · cited by 0
- RKHS.coe_negproof · cited by 0
- RKHS.coe_smulproof · cited by 0
- RKHS.continuous_evalproof · cited by 0
- RKHS.inner_kerFunproof · cited by 0