Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
Abstract algebraic structure
Analytic structure Topological structure |
| gptkbp:defines |
A set of functions from one set to another, often with additional structure such as topology or norm.
|
| gptkbp:example |
gptkb:Hilbert_space
gptkb:Lp_space gptkb:Sobolev_space Space of continuous functions Space of differentiable functions |
| gptkbp:field |
gptkb:Mathematics
gptkb:Topology gptkb:Mathematical_analysis Functional analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Function space
|
| gptkbp:property |
Can be equipped with a norm
Can be equipped with a topology Can be infinite-dimensional |
| gptkbp:relatedConcept |
gptkb:Vector
gptkb:Sequence_space gptkb:Normed_vector_space Metric space Space of bounded functions Space of integrable functions Space of measurable functions Topological vector space |
| gptkbp:used_in |
gptkb:Quantum_mechanics
Harmonic analysis Partial differential equations Approximation theory |
| gptkbp:bfsParent |
gptkb:Vector_spaces
gptkb:Operator_(mathematics) |
| gptkbp:bfsLayer |
7
|