History of Functional Analysis
E889767
History of Functional Analysis is a comprehensive historical survey by Jean Dieudonné tracing the development of functional analysis from its origins in classical analysis to its modern abstract form.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Dieudonné: History of Functional Analysis | 1 |
| History of Functional Analysis canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10848542 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: History of Functional Analysis Context triple: [Jean Dieudonné, notableWork, History of Functional Analysis]
-
A.
Foundations of Functional Analysis
Foundations of Functional Analysis is a seminal mathematical text that systematically develops the core concepts and theorems of functional analysis, particularly in the tradition of the Riesz school.
-
B.
"Functional Analysis"
Functional Analysis is a branch of mathematical analysis that studies vector spaces with additional structure (such as norms and inner products) and the linear operators acting on them, with deep applications across pure and applied mathematics.
-
C.
Functional Analysis: Introduction to Further Topics in Analysis
"Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential equations.
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D.
Leçons d’analyse fonctionnelle
Leçons d’analyse fonctionnelle is a foundational textbook in functional analysis that helped shape the modern theory of linear operators and Banach and Hilbert spaces.
-
E.
Applied Functional Analysis
Applied Functional Analysis is a foundational textbook by J. Tinsley Oden that introduces and develops the tools of functional analysis with a strong emphasis on applications to differential equations and engineering problems.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: History of Functional Analysis Target entity description: History of Functional Analysis is a comprehensive historical survey by Jean Dieudonné tracing the development of functional analysis from its origins in classical analysis to its modern abstract form.
-
A.
Foundations of Functional Analysis
Foundations of Functional Analysis is a seminal mathematical text that systematically develops the core concepts and theorems of functional analysis, particularly in the tradition of the Riesz school.
-
B.
"Functional Analysis"
Functional Analysis is a branch of mathematical analysis that studies vector spaces with additional structure (such as norms and inner products) and the linear operators acting on them, with deep applications across pure and applied mathematics.
-
C.
Functional Analysis: Introduction to Further Topics in Analysis
"Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential equations.
-
D.
Leçons d’analyse fonctionnelle
Leçons d’analyse fonctionnelle is a foundational textbook in functional analysis that helped shape the modern theory of linear operators and Banach and Hilbert spaces.
-
E.
Applied Functional Analysis
Applied Functional Analysis is a foundational textbook by J. Tinsley Oden that introduces and develops the tools of functional analysis with a strong emphasis on applications to differential equations and engineering problems.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematics history book ⓘ |
| aimsTo |
situate functional analysis within broader mathematics
ⓘ
trace conceptual evolution of functional analysis ⓘ |
| analyzesWorkOf |
David Hilbert
ⓘ
Frigyes Riesz ⓘ John von Neumann ⓘ Laurent Schwartz ⓘ Maurice Fréchet ⓘ Stefan Banach ⓘ |
| approach | thematic ⓘ |
| author | Jean Dieudonné ⓘ |
| countryOfOrigin | France ⓘ |
| coversPeriodFrom | origins in classical analysis ⓘ |
| coversPeriodTo | modern abstract functional analysis ⓘ |
| describes | transition from concrete to abstract methods in analysis ⓘ |
| discusses |
axiomatization in analysis
ⓘ
development of normed spaces ⓘ emergence of abstract spaces ⓘ influence of physics on functional analysis ⓘ links between functional analysis and probability theory ⓘ role of partial differential equations in functional analysis ⓘ |
| emphasizes | role of functional analysis in 20th-century mathematics ⓘ |
| focusesOn | development of functional analysis ⓘ |
| genre | historical survey ⓘ |
| hasPerspective | historical-critical ⓘ |
| hasSectionOn |
Banach spaces
ⓘ
Hilbert spaces ⓘ distribution theory ⓘ locally convex spaces ⓘ operator theory ⓘ spectral theory ⓘ topological vector spaces ⓘ |
| includes |
bibliographical notes
ⓘ
historical commentary ⓘ |
| intendedAudience |
graduate students in mathematics
ⓘ
mathematicians ⓘ |
| isUsedAs |
reference work in functional analysis history
ⓘ
supplementary text in graduate courses ⓘ |
| language | English ⓘ |
| originalLanguage | French ⓘ |
| partOfSeries | North-Holland Mathematics Studies ⓘ |
| publisher | North-Holland ⓘ |
| relatedWorkByAuthor | Éléments d’analyse ⓘ |
| structure | chronological ⓘ |
| subject |
functional analysis
ⓘ
history of mathematics ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: History of Functional Analysis Description of subject: History of Functional Analysis is a comprehensive historical survey by Jean Dieudonné tracing the development of functional analysis from its origins in classical analysis to its modern abstract form.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: History of Functional Analysis