von Neumann mean ergodic theorem
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hilbert_spaces
unitary operators |
| gptkbp:field |
ergodic theory
functional analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
von Neumann mean ergodic theorem
|
| gptkbp:namedAfter |
gptkb:John_von_Neumann
|
| gptkbp:relatedTo |
gptkb:ergodic_hypothesis
gptkb:Birkhoff_ergodic_theorem |
| gptkbp:state |
The time averages of a unitary operator on a Hilbert space converge in the norm to the projection onto the invariant subspace.
|
| gptkbp:yearProved |
1932
|
| gptkbp:bfsParent |
gptkb:Birkhoff's_ergodic_theorem
|
| gptkbp:bfsLayer |
6
|