Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
topological vector space |
| gptkbp:defines |
A topological vector space that is locally convex, metrizable, and complete.
|
| gptkbp:example |
space of holomorphic functions on a domain
space of smooth functions on an open set sequence space with the topology of pointwise convergence |
| gptkbp:generalizes |
gptkb:Hilbert_space
|
| gptkbp:hasProperty |
complete
locally convex metrizable |
| gptkbp:hasSubgroup |
topological vector space
locally convex topological vector space |
| gptkbp:hasTopology |
countable family of seminorms
translation-invariant metric |
| https://www.w3.org/2000/01/rdf-schema#label |
Fréchet space
|
| gptkbp:isNotNecessarily |
normable
|
| gptkbp:namedAfter |
gptkb:Maurice_Fréchet
|
| gptkbp:usedIn |
functional analysis
|
| gptkbp:bfsParent |
gptkb:topological_vector_space
|
| gptkbp:bfsLayer |
5
|