This HTML5 document contains 70 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
n18https://books.google.com/books/about/
dcthttp://purl.org/dc/terms/
dbohttp://dbpedia.org/ontology/
foafhttp://xmlns.com/foaf/0.1/
n14https://global.dbpedia.org/id/
yagohttp://dbpedia.org/class/yago/
dbthttp://dbpedia.org/resource/Template:
rdfshttp://www.w3.org/2000/01/rdf-schema#
freebasehttp://rdf.freebase.com/ns/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
owlhttp://www.w3.org/2002/07/owl#
n16https://archive.org/details/
wikipedia-enhttp://en.wikipedia.org/wiki/
dbphttp://dbpedia.org/property/
dbchttp://dbpedia.org/resource/Category:
provhttp://www.w3.org/ns/prov#
xsdhhttp://www.w3.org/2001/XMLSchema#
n12http://matwbn.icm.edu.pl/ksiazki/pmf/pmf22/
wikidatahttp://www.wikidata.org/entity/
dbrhttp://dbpedia.org/resource/

Statements

Subject Item
dbr:Silverman-Toeplitz_theorem
dbo:wikiPageWikiLink
dbr:Silverman–Toeplitz_theorem
dbo:wikiPageRedirects
dbr:Silverman–Toeplitz_theorem
Subject Item
dbr:Louis_Lazarus_Silverman
dbo:wikiPageWikiLink
dbr:Silverman–Toeplitz_theorem
Subject Item
dbr:Cesàro_summation
dbo:wikiPageWikiLink
dbr:Silverman–Toeplitz_theorem
Subject Item
dbr:Toeplitz-Schur_theorem
dbo:wikiPageWikiLink
dbr:Silverman–Toeplitz_theorem
dbo:wikiPageRedirects
dbr:Silverman–Toeplitz_theorem
Subject Item
dbr:Divergent_series
dbo:wikiPageWikiLink
dbr:Silverman–Toeplitz_theorem
Subject Item
dbr:Otto_Toeplitz
dbo:wikiPageWikiLink
dbr:Silverman–Toeplitz_theorem
dbo:knownFor
dbr:Silverman–Toeplitz_theorem
Subject Item
dbr:Toeplitz
dbo:wikiPageWikiLink
dbr:Silverman–Toeplitz_theorem
dbo:wikiPageDisambiguates
dbr:Silverman–Toeplitz_theorem
Subject Item
dbr:Series_(mathematics)
dbo:wikiPageWikiLink
dbr:Silverman–Toeplitz_theorem
Subject Item
dbr:Silverman
dbo:wikiPageWikiLink
dbr:Silverman–Toeplitz_theorem
dbo:wikiPageDisambiguates
dbr:Silverman–Toeplitz_theorem
Subject Item
dbr:Silverman–Toeplitz_theorem
rdf:type
yago:Theorem106752293 yago:Ability105616246 yago:PsychologicalFeature100023100 yago:WikicatSummabilityMethods yago:WikicatTheoremsInAnalysis yago:Statement106722453 yago:Abstraction100002137 yago:Cognition100023271 yago:Message106598915 yago:Method105660268 yago:Communication100033020 yago:Know-how105616786 yago:Proposition106750804
rdfs:label
Silverman–Toeplitz theorem
rdfs:comment
In mathematics, the Silverman–Toeplitz theorem, first proved by Otto Toeplitz, is a result in summability theory characterizing matrix summability methods that are regular. A regular matrix summability method is a matrix transformation of a convergent sequence which preserves the limit. An infinite matrix with complex-valued entries defines a regular summability method if and only if it satisfies all of the following properties: An example is Cesaro summation, a matrix summability method with
dct:subject
dbc:Summability_methods dbc:Summability_theory dbc:Theorems_in_analysis
dbo:wikiPageID
1825296
dbo:wikiPageRevisionID
1092058827
dbo:wikiPageWikiLink
dbc:Summability_methods dbr:Summability_theory dbr:Limit_of_a_sequence dbr:Matrix_(mathematics) dbr:Convergent_sequence dbr:Complex_number dbr:German_language dbr:Infinite_matrix dbr:Cesaro_summation dbr:Otto_Toeplitz dbc:Theorems_in_analysis dbr:Louis_Lazarus_Silverman dbr:If_and_only_if dbr:Mathematics dbc:Summability_theory
dbo:wikiPageExternalLink
n12:pmf2219.pdf n16:divergentseries033523mbp n18:Classical_and_Modern_Methods_in_Summabil.html%3Fid=kZ9cy6XyidEC
owl:sameAs
n14:4v7tX wikidata:Q7516736 freebase:m.05zx7j
dbp:wikiPageUsesTemplate
dbt:Use_American_English dbt:Short_description dbt:Reflist dbt:Cite_book dbt:Citation
dbo:abstract
In mathematics, the Silverman–Toeplitz theorem, first proved by Otto Toeplitz, is a result in summability theory characterizing matrix summability methods that are regular. A regular matrix summability method is a matrix transformation of a convergent sequence which preserves the limit. An infinite matrix with complex-valued entries defines a regular summability method if and only if it satisfies all of the following properties: An example is Cesaro summation, a matrix summability method with
prov:wasDerivedFrom
wikipedia-en:Silverman–Toeplitz_theorem?oldid=1092058827&ns=0
dbo:wikiPageLength
2879
foaf:isPrimaryTopicOf
wikipedia-en:Silverman–Toeplitz_theorem
Subject Item
dbr:List_of_theorems
dbo:wikiPageWikiLink
dbr:Silverman–Toeplitz_theorem
Subject Item
dbr:Toeplitz–Schur_theorem
dbo:wikiPageWikiLink
dbr:Silverman–Toeplitz_theorem
dbo:wikiPageRedirects
dbr:Silverman–Toeplitz_theorem
Subject Item
dbr:Matrix_summability_method
dbo:wikiPageWikiLink
dbr:Silverman–Toeplitz_theorem
dbo:wikiPageRedirects
dbr:Silverman–Toeplitz_theorem
Subject Item
wikipedia-en:Silverman–Toeplitz_theorem
foaf:primaryTopic
dbr:Silverman–Toeplitz_theorem