Theorems · Definition · functional analysis
lp.singleAddMonoidHom
{α : Type u_3} →
{E : α → Type u_4} →
[inst : (i : α) → NormedAddCommGroup (E i)] → [DecidableEq α] → (p : ENNReal) → (i : α) → E i →+ ↥(lp E p)single as an AddMonoidHom.
- Defined in
- Mathlib.Analysis.Normed.Lp.lpSpace
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- ENNRealstatement and proof · cited by 9,879
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- PreLpstatement · cited by 163
- lpstatement · cited by 157
- lp.singleproof · cited by 34
- lp.single_addproof · cited by 0
- lp.single_zeroproof · cited by 0
Cited by4
Results whose statement or proof uses this declaration.
- lp.singleContinuousAddMonoidHomproof · cited by 3
- lp.lsingleproof · cited by 1
- lp.singleAddMonoidHom_applystatement and proof · cited by 0
- lp.isometry_singleproof · cited by 0