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Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Vector
gptkb:algebra gptkb:topology |
| gptkbp:category |
gptkb:Topological_vector_spaces
|
| gptkbp:field |
complex numbers
real numbers |
| gptkbp:generalizes |
gptkb:Hilbert_space
gptkb:normed_vector_space gptkb:Fréchet_space locally convex space metrizable topological vector space |
| gptkbp:hasApplication |
gptkb:probability_theory
partial differential equations quantum mechanics distribution theory |
| gptkbp:hasProperty |
Hausdorff property (optional)
open sets define topology scalar multiplication is continuous vector addition is continuous zero vector is unique |
| gptkbp:hasWikipediaPage |
https://en.wikipedia.org/wiki/Topological_vector_space
|
| gptkbp:introduced |
gptkb:John_von_Neumann
gptkb:Andrey_Kolmogorov 1930s |
| gptkbp:studiedBy |
functional analysis
|
| gptkbp:bfsParent |
gptkb:Hilbert_space
|
| gptkbp:bfsLayer |
4
|