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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.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 wikiPageLength "13626".
- Nuclear_space wikiPageOutDegree "49".
- Nuclear_space wikiPageRevisionID "659867994".
- Nuclear_space wikiPageWikiLink Alexander_Grothendieck.
- Nuclear_space wikiPageWikiLink Balanced_set.
- Nuclear_space wikiPageWikiLink Banach_space.
- Nuclear_space wikiPageWikiLink Barrelled_space.
- Nuclear_space wikiPageWikiLink Cambridge_University_Press.
- Nuclear_space wikiPageWikiLink Category:Operator_theory.
- Nuclear_space wikiPageWikiLink Category:Topological_vector_spaces.
- Nuclear_space wikiPageWikiLink Closed_manifold.
- Nuclear_space wikiPageWikiLink Compact_manifold.
- Nuclear_space wikiPageWikiLink Cylinder_set_measure.
- Nuclear_space wikiPageWikiLink Distribution_(mathematics).
- Nuclear_space wikiPageWikiLink Dual_space.
- Nuclear_space wikiPageWikiLink Fourier_inversion_theorem.
- Nuclear_space wikiPageWikiLink Fredholm_kernel.
- Nuclear_space wikiPageWikiLink Fréchet_space.
- Nuclear_space wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Nuclear_space wikiPageWikiLink Heine–Borel_theorem.
- Nuclear_space wikiPageWikiLink Hilbert_space.
- Nuclear_space wikiPageWikiLink Hilbert–Schmidt_operator.
- Nuclear_space wikiPageWikiLink Inverse_Fourier_transform.
- Nuclear_space wikiPageWikiLink Locally_convex_topological_vector_space.
- Nuclear_space wikiPageWikiLink Mathematics.
- Nuclear_space wikiPageWikiLink Montel_space.
- Nuclear_space wikiPageWikiLink Norm_(mathematics).
- Nuclear_space wikiPageWikiLink Nuclear_operator.
- Nuclear_space wikiPageWikiLink Probability_measure.
- Nuclear_space wikiPageWikiLink Radon_measure.
- Nuclear_space wikiPageWikiLink Random.
- Nuclear_space wikiPageWikiLink Random_element.
- Nuclear_space wikiPageWikiLink Randomness.
- Nuclear_space wikiPageWikiLink Rigged_Hilbert_space.
- Nuclear_space wikiPageWikiLink Robert_Adolfovich_Minlos.
- Nuclear_space wikiPageWikiLink Salomon_Bochner.
- Nuclear_space wikiPageWikiLink Schwartz_space.
- Nuclear_space wikiPageWikiLink Seminorm.
- Nuclear_space wikiPageWikiLink Smooth_function.
- Nuclear_space wikiPageWikiLink Smoothness.
- Nuclear_space wikiPageWikiLink Springer-Verlag.
- Nuclear_space wikiPageWikiLink Springer_Science+Business_Media.
- Nuclear_space wikiPageWikiLink Subbase.
- Nuclear_space wikiPageWikiLink Topological_tensor_product.
- Nuclear_space wikiPageWikiLink Topological_vector_space.
- Nuclear_space wikiPageWikiLink Trace_class.
- Nuclear_space wikiPageWikiLink Unit_sphere.
- Nuclear_space wikiPageWikiLink Vector_space.
- Nuclear_space wikiPageWikiLink White_noise.
- Nuclear_space wikiPageWikiLinkText "Nuclear space".
- Nuclear_space wikiPageWikiLinkText "Nuclear space#Bochner–Minlos theorem".
- Nuclear_space wikiPageWikiLinkText "nuclear Fréchet space".
- Nuclear_space wikiPageWikiLinkText "nuclear space".
- Nuclear_space wikiPageWikiLinkText "nuclear".
- Nuclear_space wikiPageWikiLinkText "white noise measure".
- Nuclear_space author "G.L. Litvinov".
- Nuclear_space date "April 2015".
- Nuclear_space hasPhotoCollection Nuclear_space.
- Nuclear_space id "N/n067860".
- Nuclear_space reason "What about being a topological vector space?".
- Nuclear_space title "Nuclear space".
- Nuclear_space wikiPageUsesTemplate Template:Cite_book.
- Nuclear_space wikiPageUsesTemplate Template:Cite_journal.
- Nuclear_space wikiPageUsesTemplate Template:Clarify.
- Nuclear_space wikiPageUsesTemplate Template:Functional_Analysis.
- Nuclear_space wikiPageUsesTemplate Template:Harv.
- Nuclear_space wikiPageUsesTemplate Template:Springer.
- Nuclear_space subject Category:Operator_theory.
- Nuclear_space subject Category:Topological_vector_spaces.
- Nuclear_space hypernym Space.
- Nuclear_space type Physic.
- Nuclear_space type Space.
- 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.".
- Nuclear_space label "Nuclear space".
- Nuclear_space sameAs Nuklearer_Raum.
- Nuclear_space sameAs Espace_nucléaire.
- Nuclear_space sameAs Nucleaire_ruimte.
- Nuclear_space sameAs m.07yzbf.
- Nuclear_space sameAs Q283804.
- Nuclear_space sameAs Q283804.
- Nuclear_space wasDerivedFrom Nuclear_space?oldid=659867994.
- Nuclear_space isPrimaryTopicOf Nuclear_space.