{"id":"https://openalex.org/W3083328481","doi":"https://doi.org/10.2298/fil2306803c","title":"New characterizations of g-Drazin inverse in a Banach algebra","display_name":"New characterizations of g-Drazin inverse in a Banach algebra","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W3083328481","doi":"https://doi.org/10.2298/fil2306803c","mag":"3083328481"},"language":"en","primary_location":{"id":"doi:10.2298/fil2306803c","doi":"https://doi.org/10.2298/fil2306803c","is_oa":true,"landing_page_url":"http://dx.doi.org/10.2298/fil2306803c","pdf_url":"http://www.doiserbia.nb.rs/ft.aspx?id=0354-51802306803C","source":{"id":"https://openalex.org/S14920484","display_name":"Filomat","issn_l":"0354-5180","issn":["0354-5180","2406-0933"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310321616","host_organization_name":"University of Ni\u0161","host_organization_lineage":["https://openalex.org/P4310321616"],"host_organization_lineage_names":["University of Ni\u0161"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Filomat","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://www.doiserbia.nb.rs/ft.aspx?id=0354-51802306803C","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031015351","display_name":"Huanyin Chen","orcid":"https://orcid.org/0000-0001-8184-1327","observed_orcids":["https://orcid.org/0000-0001-8184-1327"]},"institutions":[{"id":"https://openalex.org/I163151501","display_name":"Hangzhou Normal University","ror":"https://ror.org/014v1mr15","country_code":"CN","type":"education","lineage":["https://openalex.org/I163151501"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huanyin Chen","raw_affiliation_strings":["School of Mathematics, Hangzhou Normal University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Hangzhou Normal University, Hangzhou, China","institution_ids":["https://openalex.org/I163151501"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043634685","display_name":"Marjan Sheibani","orcid":"https://orcid.org/0000-0002-7317-2351","observed_orcids":["https://orcid.org/0000-0002-7317-2351"]},"institutions":[{"id":"https://openalex.org/I928334797","display_name":"Semnan University","ror":"https://ror.org/029gksw03","country_code":"IR","type":"education","lineage":["https://openalex.org/I928334797"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Abdolyousefi Sheibani","raw_affiliation_strings":["Farzanegan Campus, Semnan University, Semnan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Farzanegan Campus, Semnan University, Semnan, Iran","institution_ids":["https://openalex.org/I928334797"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.848,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.80053682,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"37","issue":"6","first_page":"1803","last_page":"1813"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9603999853134155,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9603999853134155,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.008999999612569809,"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":0.0071000000461936,"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":0.843999981880188},{"id":"https://openalex.org/keywords/generalized-drazin-inverse","display_name":"generalized Drazin inverse","score":0.7450000047683716},{"id":"https://openalex.org/keywords/22-matrices","display_name":"2x2 matrices","score":0.7670000195503235},{"id":"https://openalex.org/keywords/existence-conditions","display_name":"existence conditions","score":0.4059999883174896}],"concepts":[{"id":"https://openalex.org/C2777795832","wikidata":"https://www.wikidata.org/wiki/Q4521948","display_name":"Drazin inverse","level":3,"score":0.9414801597595215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9278797507286072},{"id":"https://openalex.org/C2781106287","wikidata":"https://www.wikidata.org/wiki/Q806066","display_name":"Banach algebra","level":3,"score":0.9013189077377319},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5675392150878906},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4917042851448059},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47975289821624756},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4475829005241394},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.44464391469955444},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.40722358226776123},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06640136241912842},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2298/fil2306803c","doi":"https://doi.org/10.2298/fil2306803c","is_oa":true,"landing_page_url":"http://dx.doi.org/10.2298/fil2306803c","pdf_url":"http://www.doiserbia.nb.rs/ft.aspx?id=0354-51802306803C","source":{"id":"https://openalex.org/S14920484","display_name":"Filomat","issn_l":"0354-5180","issn":["0354-5180","2406-0933"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310321616","host_organization_name":"University of Ni\u0161","host_organization_lineage":["https://openalex.org/P4310321616"],"host_organization_lineage_names":["University of Ni\u0161"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Filomat","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2009.02477","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2009.02477","pdf_url":"https://arxiv.org/pdf/2009.02477","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":"doi:10.48550/arxiv.2009.02477","doi":"https://doi.org/10.48550/arxiv.2009.02477","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2009.02477","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":"Preprint"}],"best_oa_location":{"id":"doi:10.2298/fil2306803c","doi":"https://doi.org/10.2298/fil2306803c","is_oa":true,"landing_page_url":"http://dx.doi.org/10.2298/fil2306803c","pdf_url":"http://www.doiserbia.nb.rs/ft.aspx?id=0354-51802306803C","source":{"id":"https://openalex.org/S14920484","display_name":"Filomat","issn_l":"0354-5180","issn":["0354-5180","2406-0933"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310321616","host_organization_name":"University of Ni\u0161","host_organization_lineage":["https://openalex.org/P4310321616"],"host_organization_lineage_names":["University of Ni\u0161"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Filomat","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G143754149","display_name":null,"funder_award_id":"LY17A010018","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"}],"funders":[{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3083328481.pdf","grobid_xml":"https://content.openalex.org/works/W3083328481.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W128314839","https://openalex.org/W1970702660","https://openalex.org/W1971481675","https://openalex.org/W1994590716","https://openalex.org/W2044330455","https://openalex.org/W2049832674","https://openalex.org/W2081578520","https://openalex.org/W2087347020","https://openalex.org/W2088994249","https://openalex.org/W2095197235","https://openalex.org/W2141196841","https://openalex.org/W2307194520","https://openalex.org/W2466067137","https://openalex.org/W2556114549","https://openalex.org/W2617255240","https://openalex.org/W2779533963","https://openalex.org/W2940951480","https://openalex.org/W3011812541","https://openalex.org/W4393148356"],"related_works":["https://openalex.org/W4385970304","https://openalex.org/W2999259944","https://openalex.org/W4393148356","https://openalex.org/W2992965664","https://openalex.org/W4417363326","https://openalex.org/W4388641242","https://openalex.org/W4396944940","https://openalex.org/W4394623130","https://openalex.org/W3146442212","https://openalex.org/W2056744042"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,49],"present":[4],"a":[5,12,20,22,71],"new":[6],"characterization":[7],"of":[8,59,78],"g-Drazin":[9,26,61],"inverse":[10,27,62],"in":[11,21],"Banach":[13,23,72],"algebra.":[14,73],"We":[15],"prove":[16],"that":[17,38],"an":[18,47],"element":[19],"algebra":[24],"has":[25],"if":[28,31],"and":[29,53,90],"only":[30],"there":[32],"exists":[33],"x":[34,66],"?":[35,43],"A":[36,44],"such":[37],"ax":[39],"=":[40],"xa,":[41],"a-a2x":[42],"qnil.":[45],"As":[46],"application,":[48],"obtain":[50],"the":[51,57,60,76],"sufficient":[52],"necessary":[54],"conditions":[55],"for":[56,63],"existence":[58],"certain":[64],"2":[65,67],"anti-triangular":[68],"matrices":[69],"over":[70],"These":[74],"extend":[75],"results":[77],"Koliha":[79],"(Glasgow":[80],"Math.":[81,96],"J.,":[82],"38(1996),":[83],"367-381),":[84],"Nicholson":[85],"(Comm.":[86],"Algebra,":[87],"27(1999),":[88],"3583-3592":[89],"Zou":[91],"et":[92],"al.":[93],"(Studia":[94],"Scient.":[95],"Hungar.,":[97],"54(2017),":[98],"489-508).":[99]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2020-09-11T00:00:00"}