Hille–Yosida theorem
E1284815
UNEXPLORED
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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Hille–Yosida theorem canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T17752553 — 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: Hille–Yosida theorem Context triple: [Stone’s theorem on one-parameter unitary groups, relatedTo, Hille–Yosida theorem]
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A.
Lax–Milgram theorem
The Lax–Milgram theorem is a fundamental result in functional analysis that guarantees the existence and uniqueness of solutions to certain linear boundary value problems via bounded, coercive bilinear forms on Hilbert spaces.
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B.
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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C.
Busemann–Feller theorem
The Busemann–Feller theorem is a result in geometric measure theory that characterizes when a metric space is geodesic by relating distance properties to the existence of shortest paths between points.
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D.
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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E.
Arzelà–Ascoli theorem
The Arzelà–Ascoli theorem is a fundamental result in analysis that characterizes the relative compactness of families of functions via uniform boundedness and equicontinuity.
- 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: Hille–Yosida theorem Target entity description: 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.
-
A.
Lax–Milgram theorem
The Lax–Milgram theorem is a fundamental result in functional analysis that guarantees the existence and uniqueness of solutions to certain linear boundary value problems via bounded, coercive bilinear forms on Hilbert spaces.
-
B.
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.
-
C.
Busemann–Feller theorem
The Busemann–Feller theorem is a result in geometric measure theory that characterizes when a metric space is geodesic by relating distance properties to the existence of shortest paths between points.
-
D.
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.
-
E.
Arzelà–Ascoli theorem
The Arzelà–Ascoli theorem is a fundamental result in analysis that characterizes the relative compactness of families of functions via uniform boundedness and equicontinuity.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.