Triple
T17341144
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Banach–Saks theorem |
E421068
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in Banach space theory |
C15242
|
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: result in Banach space theory Context triple: [Banach–Saks theorem, instanceOf, result in Banach space theory]
-
A.
functional analysis result
chosen
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.
-
B.
result in real analysis
In real analysis, a result is a proven mathematical statement—such as a theorem, lemma, proposition, or corollary—that establishes a specific property or relationship about real-valued functions, sequences, sets, or structures on the real numbers.
-
C.
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.
-
D.
result in convex analysis
In convex analysis, a result is a formally stated and proven fact—such as a theorem, lemma, or proposition—that characterizes properties or relationships of convex sets, convex functions, or related optimization structures.
-
E.
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.
- 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_69d889d3adc881909319f1edb8d2a956 |
completed | April 10, 2026, 5:25 a.m. |
Created at: April 10, 2026, 5:44 a.m.