Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
normed vector spaces
|
| gptkbp:category |
theorems in functional analysis
|
| gptkbp:field |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Riesz lemma
|
| gptkbp:implies |
infinite-dimensional normed spaces are not locally compact
|
| gptkbp:namedAfter |
gptkb:Frigyes_Riesz
|
| gptkbp:sentence |
In a normed vector space, for any proper closed subspace and any 0 < α < 1, there exists a unit vector at distance at least α from the subspace.
|
| gptkbp:usedIn |
Banach space theory
|
| gptkbp:yearProposed |
1923
|
| gptkbp:bfsParent |
gptkb:Frigyes_Riesz
|
| gptkbp:bfsLayer |
5
|