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In functional analysis and related areas of mathematics, distinguished spaces are topological vector spaces (TVSs) having the property that weak-* bounded subsets of their biduals (that is, the strong dual space of their strong dual space) are contained in the weak-* closure of some bounded subset of the bidual.

Attributes	Values
rdfs:label	Distinguierter Raum (de) Distinguished space (en)
rdfs:comment	In functional analysis and related areas of mathematics, distinguished spaces are topological vector spaces (TVSs) having the property that weak-* bounded subsets of their biduals (that is, the strong dual space of their strong dual space) are contained in the weak-* closure of some bounded subset of the bidual. (en)
dcterms:subject	Topological vector spaces
Wikipage page ID	64266856 (xsd:integer)
Wikipage revision ID	1104124524 (xsd:integer)
Link from a Wikipage to another Wikipage	Montel space Barrelled space Bornological space Topological vector spaces Annales de l'Institut Fourier Continuous dual space Mathematics Separable space Quasibarrelled space Closure (topology) Fréchet space Locally convex space Locally convex topological vector space Lp space Strong dual Functional analysis Polar set Mackey space Banach space Topological vector spaces Weak-* topology Hausdorff space Alexander Grothendieck Dual system Normed space H-space Metrizable Metrizable topological vector space Reflexive space Semi-reflexive Semi-reflexive space Strong dual space LF space
Link from a Wikipage to an external page	http://www.numdam.org/item%3Fid=AIF_1950__2__5_0%7Cvolume
sameAs	Distinguished space Distinguished space Distinguished space
dbp:wikiPageUsesTemplate	dbt:Annotated_link dbt:Cite_journal dbt:Em dbt:One_source dbt:Reflist dbt:Sfn dbt:Short_description dbt:Functional_analysis dbt:Husain_Khaleelulla_Barrelledness_in_Topological_and_Ordered_Vector_Spaces dbt:Jarchow_Locally_Convex_Spaces dbt:Khaleelulla_Counterexamples_in_Topological_Vector_Spaces dbt:Narici_Beckenstein_Topological_Vector_Spaces dbt:Robertson_Topological_Vector_Spaces dbt:Schaefer_Wolff_Topological_Vector_Spaces dbt:Topological_vector_spaces dbt:Trèves_François_Topological_vector_spaces,_distributions_and_kernels dbt:Boundedness_and_bornology
has abstract	In functional analysis and related areas of mathematics, distinguished spaces are topological vector spaces (TVSs) having the property that weak-* bounded subsets of their biduals (that is, the strong dual space of their strong dual space) are contained in the weak-* closure of some bounded subset of the bidual. (en)
prov:wasDerivedFrom	wikipedia-en:Distinguished_space?oldid=1104124524&ns=0
page length (characters) of wiki page	6512 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Distinguished_space
is Link from a Wikipage to another Wikipage of	Schwartz space Montel space Bornological space Quasibarrelled space Countably barrelled space Countably quasi-barrelled space LF-space Spaces of test functions and distributions Metrizable topological vector space Semi-reflexive space
is foaf:primaryTopic of	wikipedia-en:Distinguished_space

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