Produits tensoriels topologiques et espaces nucléaires

E254122

doctoral thesis foundational work in functional analysis mathematical work

"Produits tensoriels topologiques et espaces nucléaires" is a foundational 1953 doctoral thesis in functional analysis that introduced and developed the theory of nuclear spaces and topological tensor products.

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All labels observed (2)

Label	Occurrences
Produits tensoriels topologiques et espaces nucléaires canonical	1
Topological Tensor Products and Nuclear Spaces	1

Statements (47)

Predicate	Object
instanceOf	doctoral thesis ⓘ foundational work in functional analysis ⓘ mathematical work ⓘ
academicAdvisor	Laurent Schwartz ⓘ
academicDegreeConferred	Doctorat d'État en mathématiques ⓘ
academicInstitution	University of Nancy ⓘ surface form: Université de Nancy
author	Alexander Grothendieck ⓘ
authorBirthYear	1928 ⓘ
authorDeathYear	2014 ⓘ
completionYear	1953 ⓘ
countryOfOrigin	France ⓘ
field	functional analysis ⓘ nuclear spaces ⓘ topological tensor products ⓘ topological vector spaces ⓘ
hasAuthorAtTimeOfWriting	Alexander Grothendieck ⓘ
impact	provided tools for the study of spaces of distributions and test functions ⓘ shaped the modern theory of topological tensor products ⓘ
influencedField	distribution theory ⓘ modern functional analysis ⓘ operator theory ⓘ theory of Schwartz distributions ⓘ topological vector space theory ⓘ
introducedConcept	injective tensor product of locally convex spaces ⓘ nuclear space ⓘ projective tensor product of locally convex spaces ⓘ topological tensor product of locally convex spaces ⓘ
isConsidered	classical reference on nuclear spaces ⓘ cornerstone of Grothendieck's early work in analysis ⓘ
language	French ⓘ
mainResult	applications of nuclear spaces to distribution theory ⓘ construction of topological tensor products with universal properties ⓘ criteria for nuclearity of locally convex spaces ⓘ systematic development of nuclear locally convex spaces ⓘ
mainTopic	characterization of nuclear spaces ⓘ structure of locally convex spaces ⓘ tensor products of topological vector spaces ⓘ
publicationYear	1953 ⓘ
relatedConcept	Fréchet space ⓘ Montel space ⓘ Schwartz space ⓘ locally convex topological vector space ⓘ
relatedMathematician	Jean Dieudonné ⓘ Laurent Schwartz ⓘ Nicolas Bourbaki ⓘ
relatedWork	Generalized Functions (multi-volume series) ⓘ surface form: Théorie des distributions
titleTranslation	Produits tensoriels topologiques et espaces nucléaires self-linksurface differs ⓘ surface form: Topological Tensor Products and Nuclear Spaces

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Alexander Grothendieck → doctoralThesisTitle → Produits tensoriels topologiques et espaces nucléaires ⓘ

Produits tensoriels topologiques et espaces nucléaires → titleTranslation → Produits tensoriels topologiques et espaces nucléaires self-linksurface differs ⓘ

this entity surface form: Topological Tensor Products and Nuclear Spaces