Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Topological_vector_spaces
|
| gptkbp:basisFor |
Finite intersections of inverse images of open sets in ℂ or ℝ
|
| gptkbp:category |
Mathematical topology
|
| gptkbp:characterizedBy |
Pointwise convergence
|
| gptkbp:contrastsWith |
Strong topology
|
| gptkbp:definedIn |
Convergence of functionals
|
| gptkbp:field |
gptkb:Topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Weak topology
|
| gptkbp:introduced |
gptkb:John_von_Neumann
|
| gptkbp:notation |
σ(X, X*)
|
| gptkbp:property |
Coarser than norm topology
Hausdorff if dual separates points Not necessarily metrizable |
| gptkbp:relatedTo |
Weak-* topology
|
| gptkbp:seeAlso |
Weak convergence
|
| gptkbp:usedFor |
Dual spaces
|
| gptkbp:usedIn |
gptkb:Banach_spaces
gptkb:Hilbert_spaces Functional analysis Locally convex spaces |
| gptkbp:bfsParent |
gptkb:CW_Complexes
|
| gptkbp:bfsLayer |
8
|