Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hardy_spaces
gptkb:Hilbert_spaces |
| gptkbp:characterizedBy |
invariant subspaces of the shift operator
|
| gptkbp:concerns |
invariant subspaces
|
| gptkbp:field |
functional analysis
operator theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Beurling–Lax theorem
|
| gptkbp:namedAfter |
gptkb:Peter_Lax
gptkb:Arne_Beurling |
| gptkbp:state |
Every nontrivial closed invariant subspace of the Hardy space H^2 on the unit circle is of the form φH^2 for some inner function φ.
|
| gptkbp:yearProved |
1949
|
| gptkbp:bfsParent |
gptkb:Arne_Beurling
|
| gptkbp:bfsLayer |
6
|