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- Bounded_set_(topological_vector_space) abstract "In functional analysis and related areas of mathematics, a set in a topological vector space is called bounded or von Neumann bounded, if every neighborhood of the zero vector can be inflated to include the set. Conversely a set that is not bounded is called unbounded.Bounded sets are a natural way to define a locally convex polar topologies on the vector spaces in a dual pair, as the polar of a bounded set is an absolutely convex and absorbing set. The concept was first introduced by John von Neumann and Andrey Kolmogorov in 1935.".
- Bounded_set_(topological_vector_space) wikiPageID "1789812".
- Bounded_set_(topological_vector_space) wikiPageLength "3999".
- Bounded_set_(topological_vector_space) wikiPageOutDegree "45".
- Bounded_set_(topological_vector_space) wikiPageRevisionID "654687708".
- Bounded_set_(topological_vector_space) wikiPageWikiLink Absolutely_convex_set.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Absorbing_set.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Andrey_Kolmogorov.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Bounded_function.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Bounding_point.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Cambridge_University_Press.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Category:Topological_vector_spaces.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Cauchy_sequence.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Closure_(topology).
- Bounded_set_(topological_vector_space) wikiPageWikiLink Continuous_linear_operator.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Convex_hull.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Countable_set.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Dual_pair.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Field_(mathematics).
- Bounded_set_(topological_vector_space) wikiPageWikiLink Functional_analysis.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Bounded_set_(topological_vector_space) wikiPageWikiLink If_and_only_if.
- Bounded_set_(topological_vector_space) wikiPageWikiLink John_von_Neumann.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Local_boundedness.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Locally_convex_topological_vector_space.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Mathematics.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Neighbourhood_(mathematics).
- Bounded_set_(topological_vector_space) wikiPageWikiLink Net_(mathematics).
- Bounded_set_(topological_vector_space) wikiPageWikiLink Norm_(mathematics).
- Bounded_set_(topological_vector_space) wikiPageWikiLink Normed_vector_space.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Polar_set.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Polar_topology.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Relatively_compact_subspace.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Scalar_(mathematics).
- Bounded_set_(topological_vector_space) wikiPageWikiLink Set_(mathematics).
- Bounded_set_(topological_vector_space) wikiPageWikiLink Springer_Science+Business_Media.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Topological_module.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Topological_ring.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Topological_vector_space.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Totally_bounded_space.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Union_(set_theory).
- Bounded_set_(topological_vector_space) wikiPageWikiLink Vector_space.
- Bounded_set_(topological_vector_space) wikiPageWikiLink Weak_topology_(polar_topology).
- Bounded_set_(topological_vector_space) wikiPageWikiLink Zero_element.
- Bounded_set_(topological_vector_space) wikiPageWikiLinkText "Bounded set (topological vector space)".
- Bounded_set_(topological_vector_space) wikiPageWikiLinkText "bounded set".
- Bounded_set_(topological_vector_space) wikiPageWikiLinkText "bounded subsets".
- Bounded_set_(topological_vector_space) wikiPageWikiLinkText "bounded".
- Bounded_set_(topological_vector_space) wikiPageUsesTemplate Template:Cite_book.
- Bounded_set_(topological_vector_space) wikiPageUsesTemplate Template:For.
- Bounded_set_(topological_vector_space) wikiPageUsesTemplate Template:Functional_Analysis.
- Bounded_set_(topological_vector_space) wikiPageUsesTemplate Template:Reflist.
- Bounded_set_(topological_vector_space) subject Category:Topological_vector_spaces.
- Bounded_set_(topological_vector_space) type Space.
- Bounded_set_(topological_vector_space) comment "In functional analysis and related areas of mathematics, a set in a topological vector space is called bounded or von Neumann bounded, if every neighborhood of the zero vector can be inflated to include the set. Conversely a set that is not bounded is called unbounded.Bounded sets are a natural way to define a locally convex polar topologies on the vector spaces in a dual pair, as the polar of a bounded set is an absolutely convex and absorbing set.".
- Bounded_set_(topological_vector_space) label "Bounded set (topological vector space)".
- Bounded_set_(topological_vector_space) sameAs Q17003677.
- Bounded_set_(topological_vector_space) sameAs m.05x3xn.
- Bounded_set_(topological_vector_space) sameAs Q17003677.
- Bounded_set_(topological_vector_space) wasDerivedFrom Bounded_set_(topological_vector_space)?oldid=654687708.
- Bounded_set_(topological_vector_space) isPrimaryTopicOf Bounded_set_(topological_vector_space).