Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Banach_spaces
linear operators |
| gptkbp:concerns |
ergodic theory
|
| gptkbp:field |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dunford–Schwartz theorem
|
| gptkbp:namedAfter |
gptkb:Jacob_T._Schwartz
gptkb:Nelson_Dunford |
| gptkbp:publishedIn |
gptkb:Proceedings_of_the_National_Academy_of_Sciences
|
| gptkbp:relatedTo |
gptkb:mean_ergodic_theorem
|
| gptkbp:sentence |
If T is a linear operator on a Banach space with norm at most 1, then the sequence of averages of iterates of T converges in norm for every element.
|
| gptkbp:yearProposed |
1958
|
| gptkbp:bfsParent |
gptkb:Nelson_Dunford
|
| gptkbp:bfsLayer |
6
|