Dunford–Schwartz theorem
E1309718
UNEXPLORED
The Dunford–Schwartz theorem is a fundamental result in functional analysis and ergodic theory that provides convergence properties for iterates of certain linear operators on L¹ and L^∞ spaces.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Dunford–Schwartz theorem canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T18151185 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Dunford–Schwartz theorem Context triple: [Jacob T. Schwartz, notableWork, Dunford–Schwartz theorem]
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A.
Banach–Stone theorem
The Banach–Stone theorem is a fundamental result in functional analysis that characterizes compact Hausdorff spaces via isometric isomorphisms between their spaces of continuous real- or complex-valued functions.
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B.
Herglotz's theorem
Herglotz's theorem is a fundamental result in harmonic analysis and probability theory that characterizes positive-definite functions on the unit circle via representing measures.
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C.
Banach–Steinhaus theorem
The Banach–Steinhaus theorem is a fundamental result in functional analysis that characterizes when a family of continuous linear operators is uniformly bounded, with major implications for the behavior of sequences of operators on Banach spaces.
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D.
Scott–Mazur theorem
The Scott–Mazur theorem is a result in functional analysis that characterizes when a Banach space is reflexive in terms of the weak compactness of its closed unit ball.
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E.
Hille–Yosida theorem
The Hille–Yosida theorem is a fundamental result in functional analysis that characterizes the generators of strongly continuous one-parameter semigroups of linear operators on Banach spaces.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Dunford–Schwartz theorem Target entity description: The Dunford–Schwartz theorem is a fundamental result in functional analysis and ergodic theory that provides convergence properties for iterates of certain linear operators on L¹ and L^∞ spaces.
-
A.
Banach–Stone theorem
The Banach–Stone theorem is a fundamental result in functional analysis that characterizes compact Hausdorff spaces via isometric isomorphisms between their spaces of continuous real- or complex-valued functions.
-
B.
Herglotz's theorem
Herglotz's theorem is a fundamental result in harmonic analysis and probability theory that characterizes positive-definite functions on the unit circle via representing measures.
-
C.
Banach–Steinhaus theorem
The Banach–Steinhaus theorem is a fundamental result in functional analysis that characterizes when a family of continuous linear operators is uniformly bounded, with major implications for the behavior of sequences of operators on Banach spaces.
-
D.
Scott–Mazur theorem
The Scott–Mazur theorem is a result in functional analysis that characterizes when a Banach space is reflexive in terms of the weak compactness of its closed unit ball.
-
E.
Hille–Yosida theorem
The Hille–Yosida theorem is a fundamental result in functional analysis that characterizes the generators of strongly continuous one-parameter semigroups of linear operators on Banach spaces.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.