Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Discontinuous_linear_map> ?p ?o }
- Discontinuous_linear_map abstract "In mathematics, linear maps form an important class of "simple" functions which preserve the algebraic structure of linear spaces and are often used as approximations to more general functions (see linear approximation). If the spaces involved are also topological spaces (that is, topological vector spaces), then it makes sense to ask whether all linear maps are continuous. It turns out that for maps defined on infinite-dimensional topological vector spaces (e.g., infinite-dimensional normed spaces), the answer is generally no: there exist discontinuous linear maps. If the domain of definition is complete, it is trickier; such maps can be proven to exist, but the proof relies on the axiom of choice and does not provide an explicit example.".
- Discontinuous_linear_map wikiPageID "3531066".
- Discontinuous_linear_map wikiPageLength "14749".
- Discontinuous_linear_map wikiPageOutDegree "66".
- Discontinuous_linear_map wikiPageRevisionID "662992995".
- Discontinuous_linear_map wikiPageWikiLink Additive_map.
- Discontinuous_linear_map wikiPageWikiLink Axiom_of_choice.
- Discontinuous_linear_map wikiPageWikiLink Axiom_of_dependent_choice.
- Discontinuous_linear_map wikiPageWikiLink Baire_property.
- Discontinuous_linear_map wikiPageWikiLink Banach_space.
- Discontinuous_linear_map wikiPageWikiLink Basis_(linear_algebra).
- Discontinuous_linear_map wikiPageWikiLink Basis_(vector_space).
- Discontinuous_linear_map wikiPageWikiLink Bounded_linear_operator.
- Discontinuous_linear_map wikiPageWikiLink Bounded_operator.
- Discontinuous_linear_map wikiPageWikiLink Category:Functional_analysis.
- Discontinuous_linear_map wikiPageWikiLink Category:Functions_and_mappings.
- Discontinuous_linear_map wikiPageWikiLink Ceitins_theorem.
- Discontinuous_linear_map wikiPageWikiLink Closed_graph_theorem.
- Discontinuous_linear_map wikiPageWikiLink Closed_operator.
- Discontinuous_linear_map wikiPageWikiLink Commensurability_(mathematics).
- Discontinuous_linear_map wikiPageWikiLink Complete_metric_space.
- Discontinuous_linear_map wikiPageWikiLink Complete_space.
- Discontinuous_linear_map wikiPageWikiLink Constructivism_(mathematics).
- Discontinuous_linear_map wikiPageWikiLink Continuous_function.
- Discontinuous_linear_map wikiPageWikiLink Continuous_map.
- Discontinuous_linear_map wikiPageWikiLink Densely_defined_operator.
- Discontinuous_linear_map wikiPageWikiLink Dependent_choice.
- Discontinuous_linear_map wikiPageWikiLink Derivative.
- Discontinuous_linear_map wikiPageWikiLink Dimension_(linear_algebra).
- Discontinuous_linear_map wikiPageWikiLink Dimension_(vector_space).
- Discontinuous_linear_map wikiPageWikiLink Dual_space.
- Discontinuous_linear_map wikiPageWikiLink F-space.
- Discontinuous_linear_map wikiPageWikiLink Finite-dimensional.
- Discontinuous_linear_map wikiPageWikiLink Function_(mathematics).
- Discontinuous_linear_map wikiPageWikiLink Garnir–Wright_closed_graph_theorem.
- Discontinuous_linear_map wikiPageWikiLink Group_(mathematics).
- Discontinuous_linear_map wikiPageWikiLink Hahn–Banach_theorem.
- Discontinuous_linear_map wikiPageWikiLink Hamel_basis.
- Discontinuous_linear_map wikiPageWikiLink Infimum_and_supremum.
- Discontinuous_linear_map wikiPageWikiLink Lebesgue_measure.
- Discontinuous_linear_map wikiPageWikiLink Linear_approximation.
- Discontinuous_linear_map wikiPageWikiLink Linear_form.
- Discontinuous_linear_map wikiPageWikiLink Linear_functional.
- Discontinuous_linear_map wikiPageWikiLink Linear_independence.
- Discontinuous_linear_map wikiPageWikiLink Linear_map.
- Discontinuous_linear_map wikiPageWikiLink Linear_space.
- Discontinuous_linear_map wikiPageWikiLink Linearly_independent.
- Discontinuous_linear_map wikiPageWikiLink Lp_space.
- Discontinuous_linear_map wikiPageWikiLink Mathematics.
- Discontinuous_linear_map wikiPageWikiLink Measurable_function.
- Discontinuous_linear_map wikiPageWikiLink Minkowski_functional.
- Discontinuous_linear_map wikiPageWikiLink Minkowski_gauge.
- Discontinuous_linear_map wikiPageWikiLink Model_(model_theory).
- Discontinuous_linear_map wikiPageWikiLink Norm_(mathematics).
- Discontinuous_linear_map wikiPageWikiLink Normed_space.
- Discontinuous_linear_map wikiPageWikiLink Normed_vector_space.
- Discontinuous_linear_map wikiPageWikiLink Nowhere_continuous_function.
- Discontinuous_linear_map wikiPageWikiLink Polynomial.
- Discontinuous_linear_map wikiPageWikiLink Polynomial_function.
- Discontinuous_linear_map wikiPageWikiLink Property_of_Baire.
- Discontinuous_linear_map wikiPageWikiLink Quasinorm.
- Discontinuous_linear_map wikiPageWikiLink Rational_number.
- Discontinuous_linear_map wikiPageWikiLink Rationals.
- Discontinuous_linear_map wikiPageWikiLink Real_number.
- Discontinuous_linear_map wikiPageWikiLink Robert_M._Solovay.
- Discontinuous_linear_map wikiPageWikiLink Sequence.
- Discontinuous_linear_map wikiPageWikiLink Set_theory.
- Discontinuous_linear_map wikiPageWikiLink Smooth_function.
- Discontinuous_linear_map wikiPageWikiLink Smoothness.
- Discontinuous_linear_map wikiPageWikiLink Stone–Weierstrass_theorem.
- Discontinuous_linear_map wikiPageWikiLink Structure_(mathematical_logic).
- Discontinuous_linear_map wikiPageWikiLink Supremum.
- Discontinuous_linear_map wikiPageWikiLink Topological_space.
- Discontinuous_linear_map wikiPageWikiLink Topological_vector_space.
- Discontinuous_linear_map wikiPageWikiLink Triangle_inequality.
- Discontinuous_linear_map wikiPageWikiLink Unbounded_operator.
- Discontinuous_linear_map wikiPageWikiLink Uniform_norm.
- Discontinuous_linear_map wikiPageWikiLink Vector_space.
- Discontinuous_linear_map wikiPageWikiLink Vitali_set.
- Discontinuous_linear_map wikiPageWikiLink ZFC.
- Discontinuous_linear_map wikiPageWikiLink Zermelo–Fraenkel_set_theory.
- Discontinuous_linear_map wikiPageWikiLinkText "Discontinuous linear map".
- Discontinuous_linear_map wikiPageWikiLinkText "Discontinuous linear map#General existence theorem".
- Discontinuous_linear_map wikiPageWikiLinkText "discontinuous linear map".
- Discontinuous_linear_map wikiPageWikiLinkText "linear operator which is not continuous".
- Discontinuous_linear_map date "May 2015".
- Discontinuous_linear_map hasPhotoCollection Discontinuous_linear_map.
- Discontinuous_linear_map reason "A general "constructive" proof in the incomplete case was not given above, so this contrast seems kind of hand-wavey.".
- Discontinuous_linear_map reason "This is not a proof nor even clear statement of anything, yet later in the article it is treated as an established principle.".
- Discontinuous_linear_map wikiPageUsesTemplate Template:Functional_Analysis.
- Discontinuous_linear_map wikiPageUsesTemplate Template:Reflist.
- Discontinuous_linear_map wikiPageUsesTemplate Template:What.
- Discontinuous_linear_map subject Category:Functional_analysis.
- Discontinuous_linear_map subject Category:Functions_and_mappings.
- Discontinuous_linear_map type Article.
- Discontinuous_linear_map type Article.
- Discontinuous_linear_map type Function.
- Discontinuous_linear_map type Relation.
- Discontinuous_linear_map comment "In mathematics, linear maps form an important class of "simple" functions which preserve the algebraic structure of linear spaces and are often used as approximations to more general functions (see linear approximation). If the spaces involved are also topological spaces (that is, topological vector spaces), then it makes sense to ask whether all linear maps are continuous.".
- Discontinuous_linear_map label "Discontinuous linear map".