Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hilbert_spaces
|
| gptkbp:concerns |
unitary operators
linear operators contraction operators |
| gptkbp:field |
ergodic theory
functional analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
mean ergodic theorem
|
| gptkbp:provenBy |
gptkb:John_von_Neumann
|
| gptkbp:relatedTo |
gptkb:ergodic_hypothesis
gptkb:Birkhoff_ergodic_theorem |
| gptkbp:state |
the averages of iterates of a linear operator converge in norm under certain conditions
|
| gptkbp:usedIn |
gptkb:probability_theory
gptkb:statistical_mechanics dynamical systems |
| gptkbp:yearProved |
1932
|
| gptkbp:bfsParent |
gptkb:ergodic_theorem
gptkb:Dunford–Schwartz_theorem gptkb:pointwise_ergodic_theorem |
| gptkbp:bfsLayer |
7
|