{"id":"https://openalex.org/W2286235133","doi":"https://doi.org/10.1007/978-3-642-03664-4_184","title":"Reduced Minimal Numerical Range of the Aluthge Transform","display_name":"Reduced Minimal Numerical Range of the Aluthge Transform","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2286235133","doi":"https://doi.org/10.1007/978-3-642-03664-4_184","mag":"2286235133"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-03664-4_184","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03664-4_184","pdf_url":null,"source":{"id":"https://openalex.org/S4210208846","display_name":"Advances in intelligent and soft computing","issn_l":"1867-5662","issn":["1867-5662","1867-5670"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent and Soft Computing","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015493306","display_name":"Yueqing Wang","orcid":"https://orcid.org/0000-0002-8734-8346"},"institutions":[{"id":"https://openalex.org/I168337820","display_name":"Chongqing University of Science and Technology","ror":"https://ror.org/03n3v6d52","country_code":"CN","type":"education","lineage":["https://openalex.org/I168337820"]},{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yue-qing Wang","raw_affiliation_strings":["College of Mathematics and information science, Shaanxi Normal University, Xi\u2019an, 710062, P.R. China","Department of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and information science, Shaanxi Normal University, Xi\u2019an, 710062, P.R. China","institution_ids":["https://openalex.org/I88830068"]},{"raw_affiliation_string":"Department of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331, P.R. China","institution_ids":["https://openalex.org/I168337820"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067992708","display_name":"Ning Zuo","orcid":null},"institutions":[{"id":"https://openalex.org/I168337820","display_name":"Chongqing University of Science and Technology","ror":"https://ror.org/03n3v6d52","country_code":"CN","type":"education","lineage":["https://openalex.org/I168337820"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ning Zuo","raw_affiliation_strings":["Department of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331, P.R. China","institution_ids":["https://openalex.org/I168337820"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100409217","display_name":"Chunyan Li","orcid":"https://orcid.org/0000-0001-9641-9540"},"institutions":[{"id":"https://openalex.org/I168337820","display_name":"Chongqing University of Science and Technology","ror":"https://ror.org/03n3v6d52","country_code":"CN","type":"education","lineage":["https://openalex.org/I168337820"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chun-yan Li","raw_affiliation_strings":["Department of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331, P.R. China","institution_ids":["https://openalex.org/I168337820"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100852501","display_name":"Hong-Ke Du","orcid":null},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong-ke Du","raw_affiliation_strings":["College of Mathematics and information science, Shaanxi Normal University, Xi\u2019an, 710062, P.R. China","College of Mathematics and information science, Shaanxi Normal University, Xi'an, 710062, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and information science, Shaanxi Normal University, Xi\u2019an, 710062, P.R. China","institution_ids":["https://openalex.org/I88830068"]},{"raw_affiliation_string":"College of Mathematics and information science, Shaanxi Normal University, Xi'an, 710062, P.R. China","institution_ids":["https://openalex.org/I88830068"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015493306"],"corresponding_institution_ids":["https://openalex.org/I168337820","https://openalex.org/I88830068"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24767905,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1723","last_page":"1729"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9995999932289124,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7489973902702332},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.6901081204414368},{"id":"https://openalex.org/keywords/bounded-operator","display_name":"Bounded operator","score":0.6268367171287537},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5865917801856995},{"id":"https://openalex.org/keywords/numerical-range","display_name":"Numerical range","score":0.543792724609375},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5189332962036133},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5094102025032043},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4753011167049408},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.47524523735046387},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3895004987716675},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3380485475063324},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33731162548065186},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0867043137550354},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.03912174701690674}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7489973902702332},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.6901081204414368},{"id":"https://openalex.org/C175454919","wikidata":"https://www.wikidata.org/wiki/Q2342396","display_name":"Bounded operator","level":3,"score":0.6268367171287537},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5865917801856995},{"id":"https://openalex.org/C193060811","wikidata":"https://www.wikidata.org/wiki/Q1579053","display_name":"Numerical range","level":2,"score":0.543792724609375},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5189332962036133},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5094102025032043},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4753011167049408},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.47524523735046387},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3895004987716675},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3380485475063324},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33731162548065186},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0867043137550354},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.03912174701690674},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-03664-4_184","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03664-4_184","pdf_url":null,"source":{"id":"https://openalex.org/S4210208846","display_name":"Advances in intelligent and soft computing","issn_l":"1867-5662","issn":["1867-5662","1867-5670"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent and Soft Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1482401214","https://openalex.org/W1488435683","https://openalex.org/W1562178577","https://openalex.org/W1974503864","https://openalex.org/W1974857670","https://openalex.org/W2000035160","https://openalex.org/W2009700259","https://openalex.org/W2022806724","https://openalex.org/W2055576996","https://openalex.org/W2070284561","https://openalex.org/W4249104068","https://openalex.org/W4293259004"],"related_works":["https://openalex.org/W3214582093","https://openalex.org/W4312556977","https://openalex.org/W2009700259","https://openalex.org/W3126345094","https://openalex.org/W1557987663","https://openalex.org/W2139194744","https://openalex.org/W4232612889","https://openalex.org/W4319050309","https://openalex.org/W3032895688","https://openalex.org/W1758788615"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
