Triple
T20627394
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Nevanlinna–Pick interpolation |
E506854
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | problem in operator theory |
C37052
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: problem in operator theory Context triple: [Nevanlinna–Pick interpolation, instanceOf, problem in operator theory]
-
A.
operator theory concept
chosen
An operator theory concept is an abstract mathematical construct that studies linear operators on function spaces, focusing on their properties, spectra, and behavior under various transformations.
-
B.
open problem in operator algebras
An open problem in operator algebras is an unresolved, precisely formulated question about the structure, classification, or properties of operator algebras and their morphisms, whose solution is currently unknown despite active research.
-
C.
Hilbert space operator
A Hilbert space operator is a linear transformation defined on a (subspace of a) Hilbert space that maps vectors to vectors in a way compatible with the space’s inner product structure, often studied via its continuity, boundedness, and spectral properties.
-
D.
equation in functional analysis
An equation in functional analysis is a relation, typically involving functions and operators on infinite-dimensional spaces, that specifies conditions these objects must satisfy, often to study existence, uniqueness, and properties of solutions.
-
E.
semigroup of operators
A semigroup of operators is a family of linear operators on a space, indexed by a semigroup (often time), such that the composition of operators matches the semigroup operation and typically includes an identity at the neutral element.
- F. None of above.
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69e0b4bd4a0081908d4e97a590a33fb2 |
completed | April 16, 2026, 10:06 a.m. |
Created at: April 16, 2026, 11:42 a.m.