Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Extensions of the Pontrjagin duality. I: Infinite products - MaRDI portal

Extensions of the Pontrjagin duality. I: Infinite products

From MaRDI portal
Publication:2648110

DOI10.1215/S0012-7094-48-01557-9zbMath0034.30601OpenAlexW2033646693MaRDI QIDQ2648110

Samuel Kaplan

Publication date: 1948

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-48-01557-9




Related Items (61)

Pontryagin duality for subgroups and quotients of nuclear spacesReflexivity of Topological GroupsBinz-Butzmann duality versus Pontryagin dualityA CHARACTERIZATION OF PONTRYAGIN-VAN KAMPEN DUALITY FOR COMPLEX LOCALLY CONVEX SPACESOn \(g\)-barrelled groups and their permanence propertiesOn the arc component of a locally compact Abelian groupContinuity, boundedness, connectedness and the Lindelöf property for topological groupsSelf-duality in the class of precompact groupsUnnamed ItemÜber eine Klasse linear kompakter abelscher Gruppen IAbelsche Gruppen mit kompakten Charaktergruppen und Dualitätstheorie gewisser linear topologischer abelscher GruppenShifts on compact and discrete Lie groups: Algebraic-topological invariants and classification problemsOn some algebraic properties of locally compact and weakly linearly compact topological Abelian groupsOpen subgroups, compact subgroups and Binz-Butzmann reflexivityFinal group topologies, Kac-Moody groups and Pontryagin dualityOn reflexivity and the Ascoli property for free locally convex spacesGroups of quasi-invariance and the Pontryagin dualityNondiscrete P-groups can be reflexiveTensor products of topological abelian groups and Pontryagin dualityPontryagin duality in the class of precompact abelian groups and the Baire propertyUnnamed ItemFree Abelian topological groups and the Pontryagin-Van Kampen dualityTopologies on the direct sum of topological Abelian groupsA survey on reflexivity of abelian topological groupsSome cases of preservation of the Pontryagin dual by taking dense subgroupsNote on reflexivity of some spaces of continuous integer-valued functionsCountable products and sums of lines and circles: their closed subgroups, quotients and duality propertiesWeakly linearly compact topological abelian groupsBounded subgroups as a von Neumann radical of an abelian groupPrecompact noncompact reflexive Abelian groupsPontryagin duality for spaces of continuous functionsAsymmetry of Cantorian Mathematics from a Categorial Standpoint: Is It Related to the Direction of Time?Kernels and cokernels in the category of augmented involutive stereotype algebrasContinuous duality of limits and colimits of topological Abelian groupsUncountable products of determined groups need not be determinedCompleteness properties of locally quasi-convex groupsOn reflexivity of the group of the null sequences valued in an abelian topological groupGroup duality with the topology of precompact convergenceA characterization of Pontryagin dualityInterval of group topologies satisfying Pontryagin dualityReflexivity of prodiscrete topological groupsSome examples in connection with Pontryagin's duality theoremAbelian Groups which Satisfy Pontryagin Duality need not Respect CompactnessStrong Reflexivity of Abelian GroupsThe Dual Group of a Dense SubgroupCoproducts of topological Abelian groupsOn convergent sequences in dual groupsOn Pontryagin dualityFactoring continuous homomorphisms defined on submonoids of products of topologized monoidsDuality in Products of Groups with OperatorsDuality in analysis from the point of view of triplesUnnamed ItemThe Pontryagin duality of sequential limits of topological Abelian groupsExtensions of Pontryagin dualityCoproduct in the category of groups satisfying Pontryagin dualityCharacterization, structure and analysis on Abelian \({\mathcal L}_{\infty}\) groupsThe bilinear product categoryOpen subgroups and Pontryagin dualityMackey groups and Mackey topologiesCoproducts of abelian topological groupsA characterization of Pontryagin-van Kampen duality for locally convex spaces




This page was built for publication: Extensions of the Pontrjagin duality. I: Infinite products