Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
function space |
| gptkbp:category |
abstract algebraic structure
|
| gptkbp:contains |
measurable functions
|
| gptkbp:definedIn |
measure space
p-norm |
| gptkbp:field |
gptkb:mathematics
functional analysis |
| gptkbp:generalizes |
gptkb:Euclidean_space
sequence space |
| gptkbp:hasSpecialCase |
gptkb:L2_space
gptkb:L∞_space gptkb:L1_space |
| https://www.w3.org/2000/01/rdf-schema#label |
Lp space
|
| gptkbp:introducedIn |
20th century
|
| gptkbp:namedAfter |
gptkb:Henri_Lebesgue
|
| gptkbp:notation |
L^p
|
| gptkbp:par |
real number ≥ 1
|
| gptkbp:parameter |
p
|
| gptkbp:property |
gptkb:normed_vector_space
Banach space (for p ≥ 1) Hilbert space (for p = 2) |
| gptkbp:relatedTo |
gptkb:Minkowski_inequality
gptkb:Holder's_inequality gptkb:Lebesgue_integration gptkb:Sobolev_space Fourier analysis |
| gptkbp:usedIn |
gptkb:probability_theory
gptkb:signal_processing analysis |
| gptkbp:bfsParent |
gptkb:L2_space
gptkb:Banach_spaces |
| gptkbp:bfsLayer |
5
|