About: Mackey–Arens theorem

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Mackey–Arens theorem Goto Sponge NotDistinct Permalink

An Entity of Type : owl:Thing, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FMackey%E2%80%93Arens_theorem&invfp=IFP_OFF&sas=SAME_AS_OFF

The Mackey–Arens theorem is an important theorem in functional analysis that characterizes those locally convex vector topologies that have some given space of linear functionals as their continuous dual space. According to Narici (2011), this profound result is central to duality theory; a theory that is "the central part of the modern theory of topological vector spaces."

Attributes	Values
rdfs:label	Mackey–Arens theorem (en)
rdfs:comment	The Mackey–Arens theorem is an important theorem in functional analysis that characterizes those locally convex vector topologies that have some given space of linear functionals as their continuous dual space. According to Narici (2011), this profound result is central to duality theory; a theory that is "the central part of the modern theory of topological vector spaces." (en)
name	Mackey–Arens theorem (en)
dcterms:subject	Lemmas Topological vector spaces Functional analysis
Wikipage page ID	29072525 (xsd:integer)
Wikipage revision ID	1108337993 (xsd:integer)
Link from a Wikipage to another Wikipage	Lemmas Topological vector spaces Continuous dual space Functional analysis Mackey topology Topological vector space Dual system Linear functional Functional analysis Polar topology Locally convex Separating set
sameAs	Mackey–Arens theorem Mackey–Arens theorem
dbp:wikiPageUsesTemplate	dbt:' dbt:Big dbt:Main dbt:Math dbt:Mvar dbt:Ordered_list dbt:Reflist dbt:Sfn dbt:Functional_analysis dbt:Math_theorem dbt:Narici_Beckenstein_Topological_Vector_Spaces dbt:Rudin_Walter_Functional_Analysis dbt:Schaefer_Wolff_Topological_Vector_Spaces dbt:Topological_vector_spaces dbt:Trèves_François_Topological_vector_spaces,_distributions_and_kernels dbt:Duality_and_spaces_of_linear_maps
has abstract	The Mackey–Arens theorem is an important theorem in functional analysis that characterizes those locally convex vector topologies that have some given space of linear functionals as their continuous dual space. According to Narici (2011), this profound result is central to duality theory; a theory that is "the central part of the modern theory of topological vector spaces." (en)
math statement	Let X be a vector space and let 𝒯 be a locally convex Hausdorff topological vector space topology on X. Let denote the continuous dual space of X and let denote X with the topology 𝒯. Then the following are equivalent: And furthermore, (en)
prov:wasDerivedFrom	wikipedia-en:Mackey–Arens_theorem?oldid=1108337993&ns=0
page length (characters) of wiki page	4220 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Mackey–Arens_theorem
is Link from a Wikipage to another Wikipage of	List of functional analysis topics George Mackey Mackey topology Polar topology Richard Friederich Arens
is known for of	George Mackey
is foaf:primaryTopic of	wikipedia-en:Mackey–Arens_theorem

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 50 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software