Theorems · Definition · functional analysis
CompactlySupportedContinuousMap.toRealLinearMap
{α : Type u_2} →
[inst : TopologicalSpace α] → CompactlySupportedContinuousMap α NNReal →ₗ[NNReal] CompactlySupportedContinuousMap α ℝThe map toReal defined as a ℝ≥0-linear map.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- NNRealstatement and proof · cited by 4,310
- CompactlySupportedContinuousMapstatement and proof · cited by 134
- CompactlySupportedContinuousMap.toRealproof · cited by 15
Cited by5
Results whose statement or proof uses this declaration.
- CompactlySupportedContinuousMap.toNNRealLinearproof · cited by 6
- CompactlySupportedContinuousMap.toRealLinearMap_applystatement · cited by 0
- CompactlySupportedContinuousMap.toRealLinearMap_apply_applystatement · cited by 0
- RealRMK.le_rieszMeasure_tsupport_subsetproof · cited by 0
- CompactlySupportedContinuousMap.coe_toRealLinearMapstatement · cited by 0