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- Nuclear_space abstract "In mathematics, a nuclear space is a topological vector space with many of the good properties of finite-dimensional vector spaces. The topology on them can be defined by a family of seminorms whose unit balls decrease rapidly in size. Vector spaces whose elements are "smooth" in some sense tend to be nuclear spaces; a typical example of a nuclear space is the set of smooth functions on a compact manifold. All finite-dimensional vector spaces are nuclear (because every operator on a finite-dimensional vector space is nuclear). There are no Banach spaces that are nuclear, except for the finite-dimensional ones. In practice a sort of converse to this is often true: if a "naturally occurring" topological vector space is not a Banach space, then there is a good chance that it is nuclear. Although important,[citation needed] nuclear spaces are not explicitly used in practice.[citation needed] Implicitly, they are used in (essentially) every application, owing to the ubiquity of finite-dimensional vector spaces. Much of the theory of nuclear spaces was developed by Alexander Grothendieck and published in (Grothendieck 1955).".
- Nuclear_space wikiPageExternalLink books?id=v6IdSAAACAAJ.
- Nuclear_space wikiPageExternalLink minlos.pdf.
- Nuclear_space wikiPageID "2702957".
- Nuclear_space wikiPageRevisionID "592857446".
- Nuclear_space author "G.L. Litvinov".
- Nuclear_space hasPhotoCollection Nuclear_space.
- Nuclear_space id "N/n067860".
- Nuclear_space title "Nuclear space".
- Nuclear_space subject Category:Operator_theory.
- Nuclear_space subject Category:Topological_vector_spaces.
- Nuclear_space type Abstraction100002137.
- Nuclear_space type Attribute100024264.
- Nuclear_space type Space100028651.
- Nuclear_space type TopologicalVectorSpaces.
- Nuclear_space comment "In mathematics, a nuclear space is a topological vector space with many of the good properties of finite-dimensional vector spaces. The topology on them can be defined by a family of seminorms whose unit balls decrease rapidly in size. Vector spaces whose elements are "smooth" in some sense tend to be nuclear spaces; a typical example of a nuclear space is the set of smooth functions on a compact manifold.".
- Nuclear_space label "Espace nucléaire".
- Nuclear_space label "Nuclear space".
- Nuclear_space label "Nuklearer Raum".
- Nuclear_space sameAs Nuklearer_Raum.
- Nuclear_space sameAs Espace_nucléaire.
- Nuclear_space sameAs m.07yzbf.
- Nuclear_space sameAs Q283804.
- Nuclear_space sameAs Q283804.
- Nuclear_space sameAs Nuclear_space.
- Nuclear_space wasDerivedFrom Nuclear_space?oldid=592857446.
- Nuclear_space isPrimaryTopicOf Nuclear_space.