Triple
T11411582
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gelfand transform |
E270383
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | construction in functional analysis |
C11644
|
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: construction in functional analysis Context triple: [Gelfand transform, instanceOf, construction in functional analysis]
-
A.
analytic functional
An analytic functional is a continuous linear functional defined on a space of analytic functions, often represented via integration against a complex measure or distribution.
-
B.
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.
-
C.
foundational work in functional analysis
Foundational work in functional analysis establishes the core concepts, theorems, and structures—such as normed spaces, Banach and Hilbert spaces, operators, and spectral theory—that underpin the rigorous study of infinite-dimensional linear systems and their applications.
-
D.
measure-theoretic construction
chosen
A measure-theoretic construction is a rigorous method of building mathematical objects—such as measures, integrals, or probability spaces—by specifying σ-algebras, set functions, and limiting processes that satisfy the axioms of measure theory.
-
E.
construction in proof theory
A construction in proof theory is a systematically defined method or procedure used within formal proofs to build objects, derive new statements, or transform existing proofs while preserving logical validity.
- 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_69d6aaddeaa8819088b30ef7b50598c9 |
completed | April 8, 2026, 7:22 p.m. |
Created at: April 8, 2026, 9:34 p.m.