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- Uniform_boundedness_principle abstract "In mathematics, the uniform boundedness principle or Banach–Steinhaus theorem is one of the fundamental results in functional analysis. Together with the Hahn–Banach theorem and the open mapping theorem, it is considered one of the cornerstones of the field. In its basic form, it asserts that for a family of continuous linear operators (and thus bounded operators) whose domain is a Banach space, pointwise boundedness is equivalent to uniform boundedness in operator norm.The theorem was first published in 1927 by Stefan Banach and Hugo Steinhaus but it was also proven independently by Hans Hahn.".
- Uniform_boundedness_principle wikiPageExternalLink fm918.pdf.
- Uniform_boundedness_principle wikiPageID "247392".
- Uniform_boundedness_principle wikiPageLength "10523".
- Uniform_boundedness_principle wikiPageOutDegree "38".
- Uniform_boundedness_principle wikiPageRevisionID "673304980".
- Uniform_boundedness_principle wikiPageWikiLink 3-epsilon_estimate.
- Uniform_boundedness_principle wikiPageWikiLink Baire_category_theorem.
- Uniform_boundedness_principle wikiPageWikiLink Baire_space.
- Uniform_boundedness_principle wikiPageWikiLink Banach_space.
- Uniform_boundedness_principle wikiPageWikiLink Barrelled_space.
- Uniform_boundedness_principle wikiPageWikiLink Carlesons_theorem.
- Uniform_boundedness_principle wikiPageWikiLink Category:Articles_containing_proofs.
- Uniform_boundedness_principle wikiPageWikiLink Category:Functional_analysis.
- Uniform_boundedness_principle wikiPageWikiLink Category:Mathematical_principles.
- Uniform_boundedness_principle wikiPageWikiLink Category:Theorems_in_functional_analysis.
- Uniform_boundedness_principle wikiPageWikiLink Circle_group.
- Uniform_boundedness_principle wikiPageWikiLink Closed_set.
- Uniform_boundedness_principle wikiPageWikiLink Complete_metric_space.
- Uniform_boundedness_principle wikiPageWikiLink Continuous_linear_mapping.
- Uniform_boundedness_principle wikiPageWikiLink Continuous_linear_operator.
- Uniform_boundedness_principle wikiPageWikiLink Dirichlet_kernel.
- Uniform_boundedness_principle wikiPageWikiLink Equicontinuity.
- Uniform_boundedness_principle wikiPageWikiLink Equicontinuous.
- Uniform_boundedness_principle wikiPageWikiLink Fourier_series.
- Uniform_boundedness_principle wikiPageWikiLink Fréchet_space.
- Uniform_boundedness_principle wikiPageWikiLink Functional_analysis.
- Uniform_boundedness_principle wikiPageWikiLink Fundamenta_Mathematicae.
- Uniform_boundedness_principle wikiPageWikiLink Hahn–Banach_theorem.
- Uniform_boundedness_principle wikiPageWikiLink Hans_Hahn_(mathematician).
- Uniform_boundedness_principle wikiPageWikiLink Hugo_Steinhaus.
- Uniform_boundedness_principle wikiPageWikiLink Interior_(topology).
- Uniform_boundedness_principle wikiPageWikiLink Locally_convex_space.
- Uniform_boundedness_principle wikiPageWikiLink Locally_convex_topological_vector_space.
- Uniform_boundedness_principle wikiPageWikiLink Mathematics.
- Uniform_boundedness_principle wikiPageWikiLink Normed_vector_space.
- Uniform_boundedness_principle wikiPageWikiLink Nowhere_dense.
- Uniform_boundedness_principle wikiPageWikiLink Nowhere_dense_set.
- Uniform_boundedness_principle wikiPageWikiLink Open_mapping_theorem_(functional_analysis).
- Uniform_boundedness_principle wikiPageWikiLink Stefan_Banach.
- Uniform_boundedness_principle wikiPageWikiLink Topological_vector_space.
- Uniform_boundedness_principle wikiPageWikiLink Uniform_norm.
- Uniform_boundedness_principle wikiPageWikiLink Uniformly_equicontinuous.
- Uniform_boundedness_principle wikiPageWikiLinkText "Banach–Steinhaus theorem".
- Uniform_boundedness_principle wikiPageWikiLinkText "Banach-Steinhaus Theorem".
- Uniform_boundedness_principle wikiPageWikiLinkText "Banach–Steinhaus Theorem.".
- Uniform_boundedness_principle wikiPageWikiLinkText "Banach–Steinhaus theorem".
- Uniform_boundedness_principle wikiPageWikiLinkText "Banach–Steinhaus".
- Uniform_boundedness_principle wikiPageWikiLinkText "Uniform boundedness principle".
- Uniform_boundedness_principle wikiPageWikiLinkText "uniform boundedness principle".
- Uniform_boundedness_principle first "A.I.".
- Uniform_boundedness_principle hasPhotoCollection Uniform_boundedness_principle.
- Uniform_boundedness_principle id "b/b015200".
- Uniform_boundedness_principle last "Shtern".
- Uniform_boundedness_principle wikiPageUsesTemplate Template:Citation.
- Uniform_boundedness_principle wikiPageUsesTemplate Template:Fr.
- Uniform_boundedness_principle wikiPageUsesTemplate Template:Harv.
- Uniform_boundedness_principle wikiPageUsesTemplate Template:Harvtxt.
- Uniform_boundedness_principle wikiPageUsesTemplate Template:Springer.
- Uniform_boundedness_principle year "2001".
- Uniform_boundedness_principle subject Category:Articles_containing_proofs.
- Uniform_boundedness_principle subject Category:Functional_analysis.
- Uniform_boundedness_principle subject Category:Mathematical_principles.
- Uniform_boundedness_principle subject Category:Theorems_in_functional_analysis.
- Uniform_boundedness_principle hypernym Results.
- Uniform_boundedness_principle type Article.
- Uniform_boundedness_principle type Article.
- Uniform_boundedness_principle type Concept.
- Uniform_boundedness_principle type Function.
- Uniform_boundedness_principle type Proof.
- Uniform_boundedness_principle type Theorem.
- Uniform_boundedness_principle comment "In mathematics, the uniform boundedness principle or Banach–Steinhaus theorem is one of the fundamental results in functional analysis. Together with the Hahn–Banach theorem and the open mapping theorem, it is considered one of the cornerstones of the field.".
- Uniform_boundedness_principle label "Uniform boundedness principle".
- Uniform_boundedness_principle sameAs Banachova-Steinhausova_věta.
- Uniform_boundedness_principle sameAs Satz_von_Banach-Steinhaus.
- Uniform_boundedness_principle sameAs Théorème_de_Banach-Steinhaus.
- Uniform_boundedness_principle sameAs משפט_בנך-שטיינהאוס.
- Uniform_boundedness_principle sameAs Principio_delluniforme_limitatezza.
- Uniform_boundedness_principle sameAs 균등_유계성_원리.
- Uniform_boundedness_principle sameAs Principe_van_uniforme_begrensdheid.
- Uniform_boundedness_principle sameAs Twierdzenie_Banacha-Steinhausa.
- Uniform_boundedness_principle sameAs Teorema_ëd_Banach-Steinhaus.
- Uniform_boundedness_principle sameAs Teorema_de_Banach-Steinhaus.
- Uniform_boundedness_principle sameAs m.01ksg8.
- Uniform_boundedness_principle sameAs Tiurema_di_Banach-Steinhaus.
- Uniform_boundedness_principle sameAs Теорема_Банаха-Штајнхауса.
- Uniform_boundedness_principle sameAs Banach-Steinhaus_sats.
- Uniform_boundedness_principle sameAs Теорема_Банаха_—_Штейнгауза.
- Uniform_boundedness_principle sameAs Định_lý_Banach-Steinhause.
- Uniform_boundedness_principle sameAs Q1426292.
- Uniform_boundedness_principle sameAs Q1426292.
- Uniform_boundedness_principle wasDerivedFrom Uniform_boundedness_principle?oldid=673304980.
- Uniform_boundedness_principle isPrimaryTopicOf Uniform_boundedness_principle.