{"id":"https://openalex.org/W1500504101","doi":"https://doi.org/10.3217/jucs-011-12-1963","title":"On Firmness of the State Space and Positive Elements of a Banach Algebra","display_name":"On Firmness of the State Space and Positive Elements of a Banach Algebra","publication_year":2020,"publication_date":"2020-04-07","ids":{"openalex":"https://openalex.org/W1500504101","doi":"https://doi.org/10.3217/jucs-011-12-1963","mag":"1500504101"},"language":"en","primary_location":{"id":"pmh:oai:zenodo.org:6996914","is_oa":true,"landing_page_url":"https://zenodo.org/record/6996914","pdf_url":"https://zenodo.org/record/6996914","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JUCS - Journal of Universal Computer Science 11((12)) 1963-1969","raw_type":"info:eu-repo/semantics/article"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/6996914","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086612786","display_name":"Robin Havea","orcid":"https://orcid.org/0000-0002-2511-8051"},"institutions":[{"id":"https://openalex.org/I44666525","display_name":"University of the South Pacific","ror":"https://ror.org/008stv805","country_code":"FJ","type":"education","lineage":["https://openalex.org/I44666525"]}],"countries":["FJ"],"is_corresponding":true,"raw_author_name":"Robin S. Havea","raw_affiliation_strings":["(University of the South Pacific)"],"affiliations":[{"raw_affiliation_string":"(University of the South Pacific)","institution_ids":["https://openalex.org/I44666525"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086612786"],"corresponding_institution_ids":["https://openalex.org/I44666525"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00060533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","issue":null,"first_page":"1963","last_page":"1969"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9797999858856201,"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"}},"topics":[{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9797999858856201,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.940500020980835,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/banach-algebra","display_name":"Banach algebra","score":0.5762003660202026},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5677276253700256},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.5305624008178711},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4958096444606781},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4754604697227478},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.444479763507843}],"concepts":[{"id":"https://openalex.org/C2781106287","wikidata":"https://www.wikidata.org/wiki/Q806066","display_name":"Banach algebra","level":3,"score":0.5762003660202026},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5677276253700256},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5305624008178711},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4958096444606781},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4754604697227478},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.444479763507843}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:zenodo.org:6996914","is_oa":true,"landing_page_url":"https://zenodo.org/record/6996914","pdf_url":"https://zenodo.org/record/6996914","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JUCS - Journal of Universal Computer Science 11((12)) 1963-1969","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.107.752","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.107.752","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.jucs.org/jucs_11_12/on_firmness_of_the/jucs_11_12_1963_1969_havea.pdf","raw_type":"text"},{"id":"doi:10.3217/jucs-011-12-1963","is_oa":true,"landing_page_url":"https://doi.org/10.3217/jucs-011-12-1963","pdf_url":null,"source":{"id":"https://openalex.org/S4306400660","display_name":"TUGraz OPEN Library (Graz University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4092182","host_organization_name":"Graz University of Technology","host_organization_lineage":["https://openalex.org/I4092182"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"mag:1500504101","is_oa":false,"landing_page_url":"http://www.jucs.org/jucs_11_12/on_firmness_of_the/jucs_11_12_1963_1969_havea.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S58563349","display_name":"JUCS - Journal of Universal Computer Science","issn_l":"0948-695X","issn":["0948-695X","0948-6968"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317875","host_organization_name":"Verlag der Technischen Universit\u00e4t Graz","host_organization_lineage":["https://openalex.org/P4310317875"],"host_organization_lineage_names":["Verlag der Technischen Universit\u00e4t Graz"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"JUCS - Journal of Universal Computer Science","raw_type":null}],"best_oa_location":{"id":"pmh:oai:zenodo.org:6996914","is_oa":true,"landing_page_url":"https://zenodo.org/record/6996914","pdf_url":"https://zenodo.org/record/6996914","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JUCS - Journal of Universal Computer Science 11((12)) 1963-1969","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5299999713897705,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W1500504101.pdf"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W311911547","https://openalex.org/W1982004603","https://openalex.org/W1989113398","https://openalex.org/W2059204568","https://openalex.org/W2067914884","https://openalex.org/W2491559147"],"related_works":["https://openalex.org/W343498505","https://openalex.org/W2076265938","https://openalex.org/W658607459","https://openalex.org/W2490759385","https://openalex.org/W2503681911","https://openalex.org/W2095296340","https://openalex.org/W311911547","https://openalex.org/W2295500700","https://openalex.org/W1010252685","https://openalex.org/W2506955560","https://openalex.org/W1970871043","https://openalex.org/W2735262345","https://openalex.org/W2051038097","https://openalex.org/W2102236928","https://openalex.org/W2149058630","https://openalex.org/W66550669","https://openalex.org/W1971786809","https://openalex.org/W2995061411","https://openalex.org/W2050267954","https://openalex.org/W2056551491"],"abstract_inverted_index":{"Abstract:":[0],"This":[1],"paper":[2],"is":[3,25],"an":[4],"investigation":[5],"of":[6,16,20,30],"positive":[7,31],"elements":[8,33],"in":[9,35],"a":[10,21],"Banach":[11,22],"algebra.":[12],"Under":[13],"the":[14,17],"firmness":[15],"state":[18],"space":[19],"algebra,":[23],"it":[24],"shown":[26],"that":[27],"even":[28],"powers":[29],"Hermitian":[32],"are":[34],"fact":[36],"positive.":[37]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
