Triple
T37258515
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | GNS construction |
E924197
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | concept in operator algebras |
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: concept in operator algebras Context triple: [GNS construction, instanceOf, concept in operator algebras]
-
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.
concept in abstract algebra
A class in abstract algebra is a collection of elements grouped together under an equivalence relation, typically forming an equivalence class that represents a single "type" or "category" of objects within an algebraic structure.
-
E.
associative algebra with operator
An associative algebra with operator is an associative algebra equipped with a distinguished linear operator (such as a derivation, endomorphism, or Rota–Baxter operator) that interacts with the multiplication according to specified compatibility relations.
- 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_69f76eabd6c481909d414a80a1345c98 |
completed | May 3, 2026, 3:50 p.m. |
Created at: May 3, 2026, 4:15 p.m.