Theorems · Definition · functional analysis
schwartzSeminormFamily
(𝕜 : Type u_2) →
(E : Type u_5) →
(F : Type u_6) →
[inst : NormedAddCommGroup E] →
[inst_1 : NormedSpace ℝ E] →
[inst_2 : NormedAddCommGroup F] →
[inst_3 : NormedSpace ℝ F] →
[inst_4 : NormedField 𝕜] →
[inst_5 : NormedSpace 𝕜 F] → [inst_6 : SMulCommClass ℝ 𝕜 F] → SeminormFamily 𝕜 (SchwartzMap E F) (ℕ × ℕ)The family of Schwartz seminorms.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 218 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- SMulCommClassstatement and proof · cited by 1,927
- NormedFieldstatement and proof · cited by 1,084
- SchwartzMapstatement · cited by 251
- SeminormFamilystatement · cited by 68
- SchwartzMap.seminormproof · cited by 16
Cited by9
Results whose statement or proof uses this declaration.
- SchwartzMap.eLpNorm_le_seminormstatement and proof · cited by 2
- SchwartzMap.eLpNorm_lt_topproof · cited by 1
- SchwartzMap.schwartzSeminormFamily_applystatement · cited by 0
- SchwartzMap.schwartzSeminormFamily_apply_zerostatement · cited by 0
- SchwartzMap.mkCLMstatement and proof · cited by 0
- SchwartzMap.mkCLMtoNormedSpacestatement and proof · cited by 0
- SchwartzMap.mkLMstatement and proof · cited by 0
- SchwartzMap.norm_toLp_le_seminormstatement and proof · cited by 0
- schwartz_withSeminormsstatement and proof · cited by 0