Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Banach_spaces
normed vector spaces |
| gptkbp:field |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mazur's lemma
|
| gptkbp:implies |
convex sets are weakly closed if and only if they are strongly closed in normed spaces
|
| gptkbp:namedAfter |
gptkb:Stanisław_Mazur
|
| gptkbp:publishedIn |
gptkb:Studia_Mathematica
|
| gptkbp:relatedTo |
convex sets
strong topology weak topology |
| gptkbp:sentence |
In a normed vector space, the weak closure of a convex set is equal to its strong closure.
|
| gptkbp:yearProposed |
1933
|
| gptkbp:bfsParent |
gptkb:Stanislaw_Mazur
gptkb:Stanisław_Mazur |
| gptkbp:bfsLayer |
6
|