About: Quasi-complete space

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In functional analysis, a topological vector space (TVS) is said to be quasi-complete or boundedly complete if every closed and bounded subset is complete. This concept is of considerable importance for non-metrizable TVSs.

Attributes	Values
rdfs:label	Quasi-complete space (en)
rdfs:comment	In functional analysis, a topological vector space (TVS) is said to be quasi-complete or boundedly complete if every closed and bounded subset is complete. This concept is of considerable importance for non-metrizable TVSs. (en)
dct:subject	Functional analysis
Wikipage page ID	63948433 (xsd:integer)
Wikipage revision ID	1119699808 (xsd:integer)
Link from a Wikipage to another Wikipage	Bounded set (topological vector space) LB-space Complete space Nuclear space Convex hull Locally convex topological vector space Closed set Functional analysis Topological vector space Totally bounded Normed space Heine–Borel property Functional analysis Infrabarrelled space Metrizable topological vector space Semi-reflexive space Locally convex Strong dual space Compact linear map Sequentially complete space
sameAs	Quasi-complete space Quasi-complete space
dbp:wikiPageUsesTemplate	dbt:Annotated_link dbt:Mvar dbt:Reflist dbt:Sfn dbt:Short_description dbt:Khaleelulla_Counterexamples_in_Topological_Vector_Spaces dbt:Narici_Beckenstein_Topological_Vector_Spaces dbt:Schaefer_Wolff_Topological_Vector_Spaces dbt:Topological_vector_spaces dbt:Trèves_François_Topological_vector_spaces,_distributions_and_kernels dbt:Wilansky_Modern_Methods_in_Topological_Vector_Spaces dbt:Wong_Schwartz_Spaces,_Nuclear_Spaces,_and_Tensor_Products
has abstract	In functional analysis, a topological vector space (TVS) is said to be quasi-complete or boundedly complete if every closed and bounded subset is complete. This concept is of considerable importance for non-metrizable TVSs. (en)
prov:wasDerivedFrom	wikipedia-en:Quasi-complete_space?oldid=1119699808&ns=0
page length (characters) of wiki page	3364 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Quasi-complete_space
is Link from a Wikipage to another Wikipage of	Quasi-complete Montel space Barrelled space Pettis integral Complete topological vector space Locally convex topological vector space Topologies on spaces of linear maps Infrabarrelled space Semi-reflexive space Schwartz topological vector space Sequentially complete
is Wikipage redirect of	Quasi-complete
is foaf:primaryTopic of	wikipedia-en:Quasi-complete_space

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