{"id":"https://openalex.org/W1984708428","doi":"https://doi.org/10.1093/imamci/dnm010","title":"Properties of a subalgebra of H\u00a0(D) and stabilization","display_name":"Properties of a subalgebra of H\u00a0(D) and stabilization","publication_year":2007,"publication_date":"2007-03-01","ids":{"openalex":"https://openalex.org/W1984708428","doi":"https://doi.org/10.1093/imamci/dnm010","mag":"1984708428"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnm010","is_oa":true,"landing_page_url":"https://doi.org/10.1093/imamci/dnm010","pdf_url":"https://academic.oup.com/imamci/article-pdf/25/1/1/2006445/dnm010.pdf","source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://academic.oup.com/imamci/article-pdf/25/1/1/2006445/dnm010.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047093315","display_name":"Amol Sasane","orcid":null},"institutions":[{"id":"https://openalex.org/I909854389","display_name":"London School of Economics and Political Science","ror":"https://ror.org/0090zs177","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I909854389"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"A. Sasane","raw_affiliation_strings":["Department of Mathematics, London School of Economics, Houghton Street, London WC2A 2AE, UK","Department of Mathematics, London School of Economics, Houghton Street, London WC2A 2AE, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, London School of Economics, Houghton Street, London WC2A 2AE, UK","institution_ids":["https://openalex.org/I909854389"]},{"raw_affiliation_string":"Department of Mathematics, London School of Economics, Houghton Street, London WC2A 2AE, UK#TAB#","institution_ids":["https://openalex.org/I909854389"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047093315"],"corresponding_institution_ids":["https://openalex.org/I909854389"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":1.3456,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76355591,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"1","first_page":"1","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12812","display_name":"Meromorphic and Entire Functions","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.9681000113487244,"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/mathematics","display_name":"Mathematics","score":0.7365955114364624},{"id":"https://openalex.org/keywords/subalgebra","display_name":"Subalgebra","score":0.7293432354927063},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.585196316242218},{"id":"https://openalex.org/keywords/holomorphic-function","display_name":"Holomorphic function","score":0.5674317479133606},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5627275705337524},{"id":"https://openalex.org/keywords/infimum-and-supremum","display_name":"Infimum and supremum","score":0.560724139213562},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5605226159095764},{"id":"https://openalex.org/keywords/integral-domain","display_name":"Integral domain","score":0.549357533454895},{"id":"https://openalex.org/keywords/banach-algebra","display_name":"Banach algebra","score":0.4944283962249756},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4885047674179077},{"id":"https://openalex.org/keywords/jacobson-radical","display_name":"Jacobson radical","score":0.46646085381507874},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.45221155881881714},{"id":"https://openalex.org/keywords/unit-circle","display_name":"Unit circle","score":0.4460686445236206},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.4389411509037018},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35591042041778564},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3450953960418701},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26863592863082886},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.179368793964386}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7365955114364624},{"id":"https://openalex.org/C67996461","wikidata":"https://www.wikidata.org/wiki/Q629933","display_name":"Subalgebra","level":3,"score":0.7293432354927063},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.585196316242218},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.5674317479133606},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5627275705337524},{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.560724139213562},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5605226159095764},{"id":"https://openalex.org/C98486379","wikidata":"https://www.wikidata.org/wiki/Q628792","display_name":"Integral domain","level":3,"score":0.549357533454895},{"id":"https://openalex.org/C2781106287","wikidata":"https://www.wikidata.org/wiki/Q806066","display_name":"Banach algebra","level":3,"score":0.4944283962249756},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4885047674179077},{"id":"https://openalex.org/C129478007","wikidata":"https://www.wikidata.org/wiki/Q1677769","display_name":"Jacobson radical","level":3,"score":0.46646085381507874},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.45221155881881714},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.4460686445236206},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.4389411509037018},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35591042041778564},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3450953960418701},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26863592863082886},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.179368793964386},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/imamci/dnm010","is_oa":true,"landing_page_url":"https://doi.org/10.1093/imamci/dnm010","pdf_url":"https://academic.oup.com/imamci/article-pdf/25/1/1/2006445/dnm010.pdf","source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},{"id":"pmh:oai:researchonline.lse.ac.uk:22793","is_oa":false,"landing_page_url":"https://orcid.org/0000-0001-5566-9877>","pdf_url":null,"source":{"id":"https://openalex.org/S4306401593","display_name":"London School of Economics and Political Science Research Online (London School of Economics and Political Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I909854389","host_organization_name":"London School of Economics and Political Science","host_organization_lineage":["https://openalex.org/I909854389"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":{"id":"doi:10.1093/imamci/dnm010","is_oa":true,"landing_page_url":"https://doi.org/10.1093/imamci/dnm010","pdf_url":"https://academic.oup.com/imamci/article-pdf/25/1/1/2006445/dnm010.pdf","source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1984708428.pdf","grobid_xml":"https://content.openalex.org/works/W1984708428.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2069216208","https://openalex.org/W2222620585","https://openalex.org/W1979461217","https://openalex.org/W801565052","https://openalex.org/W3101358448","https://openalex.org/W1591961808","https://openalex.org/W138500574","https://openalex.org/W2354027865","https://openalex.org/W4387090862","https://openalex.org/W4289666861"],"abstract_inverted_index":{"Let":[0,9],"\ud835\udd3b":[1,31,40,47],"denote":[2,11,21],"the":[3,12,24,52,64,68,73,82],"open":[4],"unit":[5,13],"disc":[6,69],"in":[7,39,46],"\u2102.":[8],"\ud835\udd4b":[10],"circle":[14],"and":[15,41,44,60,72],"let":[16],"S":[17,33],"\u2282":[18],"T.":[19],"We":[20,77],"by":[22],"AS(\ud835\udd3b)":[23,55,80,96,113,120],"set":[25],"of":[26,67,112],"all":[27],"functions":[28],"f":[29],":":[30],"\u222a":[32,48],"\u2192":[34],"\u2102":[35],"that":[36,79],"are":[37,42],"holomorphic":[38],"bounded":[43],"continuous":[45],"S.":[49],"Equipped":[50],"with":[51],"supremum":[53],"norm,":[54],"is":[56,97,104,114],"a":[57,99,105],"Banach":[58,118],"algebra,":[59],"it":[61,103],"lies":[62],"between":[63],"extreme":[65],"cases":[66],"algebra":[70,119],"A(\ud835\udd3b)":[71],"Hardy":[74],"space":[75],"H\u221e(\ud835\udd3b).":[76],"show":[78],"has":[81,121],"following":[83],"properties:":[84],"P1.":[85],"The":[86,93,109,117],"corona":[87],"theorem":[88],"holds":[89],"for":[90],"AS(\ud835\udd3b).":[91],"P2.":[92],"integral":[94],"domain":[95],"not":[98],"B\u00e9zout":[100],"domain,":[101],"but":[102],"Hermite":[106],"ring.":[107],"P3.":[108],"stable":[110,123],"rank":[111,124],"1.":[115],"P4.":[116],"topological":[122],"2.":[125]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
