{"id":"https://openalex.org/W3142880197","doi":"https://doi.org/10.1017/s0004972721000691","title":"CENTRE OF BANACH ALGEBRA VALUED BEURLING ALGEBRAS","display_name":"CENTRE OF BANACH ALGEBRA VALUED BEURLING ALGEBRAS","publication_year":2021,"publication_date":"2021-09-13","ids":{"openalex":"https://openalex.org/W3142880197","doi":"https://doi.org/10.1017/s0004972721000691","mag":"3142880197"},"language":"en","primary_location":{"id":"doi:10.1017/s0004972721000691","doi":"https://doi.org/10.1017/s0004972721000691","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0004972721000691","pdf_url":null,"source":{"id":"https://openalex.org/S141318850","display_name":"Bulletin of the Australian Mathematical Society","issn_l":"0004-9727","issn":["0004-9727","1755-1633"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the Australian Mathematical Society","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1017/s0004972721000691","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045620318","display_name":"Bharat Talwar","orcid":"https://orcid.org/0000-0003-2304-3030","observed_orcids":["https://orcid.org/0000-0003-2304-3030"]},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"BHARAT TALWAR","raw_affiliation_strings":["Department of Mathematics, University of Delhi, Delhi, India e-mail:"],"raw_orcid":"https://orcid.org/0000-0003-2304-3030","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Delhi, Delhi, India e-mail:","institution_ids":["https://openalex.org/I110166357"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079672245","display_name":"Ranjana Jain","orcid":"https://orcid.org/0000-0001-5302-5656","observed_orcids":["https://orcid.org/0000-0001-5302-5656"]},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"RANJANA JAIN","raw_affiliation_strings":["Department of Mathematics, University of Delhi, Delhi, India"],"raw_orcid":"https://orcid.org/0000-0001-5302-5656","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Delhi, Delhi, India","institution_ids":["https://openalex.org/I110166357"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079672245"],"corresponding_institution_ids":["https://openalex.org/I110166357"],"apc_list":{"value":1545,"currency":"USD","value_usd":1545},"apc_paid":{"value":1545,"currency":"USD","value_usd":1545},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"105","issue":"3","first_page":"490","last_page":"498"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.00139999995008111,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/banach-algebras","display_name":"Banach algebras","score":0.8149999976158142},{"id":"https://openalex.org/keywords/beurling-algebras","display_name":"Beurling algebras","score":0.8970000147819519},{"id":"https://openalex.org/keywords/group-algebras","display_name":"group algebras","score":0.6420000195503235},{"id":"https://openalex.org/keywords/approximate-identities","display_name":"approximate identities","score":0.6000000238418579},{"id":"https://openalex.org/keywords/weak-amenability","display_name":"weak amenability","score":0.8899999856948853},{"id":"https://openalex.org/keywords/semisimplicity","display_name":"semisimplicity","score":0.8429999947547913},{"id":"https://openalex.org/keywords/conjugacy-classes","display_name":"conjugacy classes","score":0.503000020980835}],"concepts":[{"id":"https://openalex.org/C2781106287","wikidata":"https://www.wikidata.org/wiki/Q806066","display_name":"Banach algebra","level":3,"score":0.8002420663833618},{"id":"https://openalex.org/C87945829","wikidata":"https://www.wikidata.org/wiki/Q1353233","display_name":"Conjugacy class","level":2,"score":0.6546347141265869},{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.6531022787094116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6388579607009888},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6004862785339355},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.49030497670173645},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4634343087673187},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.4412744343280792},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4290006458759308},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.4225139617919922},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3552013337612152},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33505356311798096},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3319365978240967},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17608541250228882},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11902022361755371},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0452573299407959},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1017/s0004972721000691","doi":"https://doi.org/10.1017/s0004972721000691","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0004972721000691","pdf_url":null,"source":{"id":"https://openalex.org/S141318850","display_name":"Bulletin of the Australian Mathematical Society","issn_l":"0004-9727","issn":["0004-9727","1755-1633"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the Australian Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2104.01559","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.01559","pdf_url":"https://arxiv.org/pdf/2104.01559","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3142880197","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2104.01559","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2104.01559","doi":"https://doi.org/10.48550/arxiv.2104.01559","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2104.01559","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1017/s0004972721000691","doi":"https://doi.org/10.1017/s0004972721000691","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0004972721000691","pdf_url":null,"source":{"id":"https://openalex.org/S141318850","display_name":"Bulletin of the Australian Mathematical Society","issn_l":"0004-9727","issn":["0004-9727","1755-1633"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the Australian Mathematical Society","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3142880197.pdf","grobid_xml":"https://content.openalex.org/works/W3142880197.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W318937055","https://openalex.org/W1585764656","https://openalex.org/W1590432342","https://openalex.org/W1969649294","https://openalex.org/W1986496941","https://openalex.org/W2007365690","https://openalex.org/W2007945449","https://openalex.org/W2014066991","https://openalex.org/W2028648288","https://openalex.org/W2047429562","https://openalex.org/W2056610542","https://openalex.org/W2060925487","https://openalex.org/W2087502041","https://openalex.org/W2094513115","https://openalex.org/W2119357458","https://openalex.org/W2604915412","https://openalex.org/W2890804295","https://openalex.org/W3048770431","https://openalex.org/W4241008512"],"related_works":["https://openalex.org/W2059476951","https://openalex.org/W2093854895","https://openalex.org/W1610697002","https://openalex.org/W2188133231","https://openalex.org/W2048950594","https://openalex.org/W7171116476","https://openalex.org/W2520145195","https://openalex.org/W3101228883","https://openalex.org/W1482933545","https://openalex.org/W2185827598"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2],"that":[3],"for":[4,15],"a":[5,8,20],"Banach":[6,63],"algebraAhaving":[7],"bounded":[9],"$\\mathcal":[10,34,58],"{Z}(A)$":[11,47],"-approximate":[12],"identity":[13],"and":[14],"every":[16],"$\\mathbf":[17],"{[IN]}$":[18],"groupGwith":[19],"weightwwhich":[21],"is":[22],"either":[23],"constant":[24],"on":[25],"conjugacy":[26],"classes":[27],"or":[28,70],"satisfies":[29],"$w":[30],"\\geq":[31],"1$":[32],",":[33],"{Z}(L^{1}_{w}(G)":[35],"\\otimes":[36,43],"^{\\gamma":[37,44],"}":[38,45],"A)":[39],"\\cong":[40],"\\mathcal":[41,46],"{Z}(L^{1}_{w}(G))":[42],".":[48],"As":[49],"an":[50],"application,":[51],"we":[52],"discuss":[53],"the":[54],"conditions":[55],"under":[56],"which":[57],"{Z}(L^{1}_{\\omega":[59],"}(G,A))$":[60],"enjoys":[61],"certain":[62],"algebraic":[64],"properties,":[65],"such":[66],"as":[67],"weak":[68],"amenability":[69],"semisimplicity.":[71]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2021-04-13T00:00:00"}