Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hardy_space_H^2_of_the_unit_disk
|
| gptkbp:describes |
characterization of invariant subspaces of the shift operator
|
| gptkbp:field |
gptkb:mathematics
functional analysis operator theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Beurling's theorem
|
| gptkbp:influenced |
gptkb:theory_of_invariant_subspaces
operator theory |
| gptkbp:namedAfter |
gptkb:Arne_Beurling
|
| gptkbp:publishedIn |
gptkb:Acta_Mathematica
|
| gptkbp:relatedTo |
gptkb:Hardy_space
inner function shift operator |
| gptkbp:state |
Every nontrivial closed invariant subspace of the shift operator on H^2 is of the form φH^2, where φ is an inner function.
|
| gptkbp:yearProposed |
1949
|
| gptkbp:bfsParent |
gptkb:Hardy_spaces
gptkb:Arne_Beurling |
| gptkbp:bfsLayer |
6
|