Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hilbert_space
gptkb:normed_vector_space dual space |
| gptkbp:field |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Alaoglu's theorem
|
| gptkbp:namedAfter |
gptkb:Leonidas_Alaoglu
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:Banach–Alaoglu_theorem
gptkb:Tychonoff's_theorem |
| gptkbp:state |
the closed unit ball of the dual of a normed space is compact in the weak-* topology
|
| gptkbp:topology |
weak-* topology
|
| gptkbp:usedIn |
functional analysis
operator theory convex analysis |
| gptkbp:yearProved |
1940
|
| gptkbp:bfsParent |
gptkb:Topological_vector_spaces
|
| gptkbp:bfsLayer |
6
|