Triple
T16150788
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fredholm operator |
E391903
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | operator theory concept |
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: operator theory concept Context triple: [Fredholm operator, instanceOf, operator theory concept]
-
A.
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.
-
B.
integral operator
An integral operator is a mapping that transforms a function into another function by integrating it against a given kernel over a specified domain.
-
C.
functional analysis result
A functional analysis result is a formal conclusion or theorem that characterizes the behavior, structure, or properties of functions and operators on infinite-dimensional spaces, typically within the framework of normed, Banach, or Hilbert spaces.
-
D.
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.
-
E.
elliptic differential operator
An elliptic differential operator is a linear differential operator whose principal symbol is invertible away from the zero section, ensuring strong regularity and smoothing properties for its solutions.
- F. None of above. chosen
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_69d87f1c65e48190aa2b4c472e9bafc4 |
completed | April 10, 2026, 4:39 a.m. |
Created at: April 10, 2026, 5:01 a.m.