Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
topological vector space
|
| gptkbp:category |
gptkb:category_of_Fréchet_spaces
|
| gptkbp:compatibleWith |
necessarily Banach space
necessarily normable |
| gptkbp:definedIn |
countable family of seminorms
|
| gptkbp:example |
space of distributions
space of holomorphic functions space of smooth functions |
| gptkbp:generalizes |
gptkb:Hilbert_space
|
| gptkbp:hasProperty |
gptkb:Hausdorff
complete locally convex metrizable |
| gptkbp:hasTopology |
locally convex topology
metrizable topology |
| https://www.w3.org/2000/01/rdf-schema#label |
Fréchet spaces
|
| gptkbp:introducedIn |
1920s
|
| gptkbp:isA |
locally convex space
complete metrizable topological vector space |
| gptkbp:namedAfter |
gptkb:Maurice_Fréchet
|
| gptkbp:subclassOf |
topological vector spaces
locally convex spaces |
| gptkbp:usedIn |
functional analysis
partial differential equations distribution theory |
| gptkbp:bfsParent |
gptkb:Topological_vector_spaces
|
| gptkbp:bfsLayer |
6
|