{"id":"https://openalex.org/W1541689623","doi":null,"title":"MATRIX MEANS OF FINITE ORDERS (Operator monotone functions and related topics)","display_name":"MATRIX MEANS OF FINITE ORDERS (Operator monotone functions and related topics)","publication_year":2014,"publication_date":"2014-05-01","ids":{"openalex":"https://openalex.org/W1541689623","mag":"1541689623"},"language":"en","primary_location":{"id":"pmh:oai:irdb.nii.ac.jp:01221:0000154630","doi":null,"is_oa":true,"landing_page_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/03e3e54b-6fb3-4415-ab39-f0cd7675251d/download","pdf_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/03e3e54b-6fb3-4415-ab39-f0cd7675251d/download","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","raw_type":"departmental bulletin paper"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/03e3e54b-6fb3-4415-ab39-f0cd7675251d/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077732895","display_name":"Trung Hoa Dinh","orcid":"https://orcid.org/0000-0001-6303-1427","observed_orcids":["https://orcid.org/0000-0001-6303-1427"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Trung Hoa Dinh","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-6303-1427","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081735163","display_name":"Ho Minh Toan","orcid":"https://orcid.org/0000-0002-6508-8221","observed_orcids":["https://orcid.org/0000-0002-6508-8221"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ho Minh Toan","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-6508-8221","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5020415997","display_name":"Hiroyuki Osaka","orcid":"https://orcid.org/0000-0002-3195-8647","observed_orcids":["https://orcid.org/0000-0002-3195-8647"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hiroyuki Osaka","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1893","issue":"1893","first_page":"57","last_page":"66"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9994999766349792,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9994999766349792,"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/T10792","display_name":"Matrix Theory and Algorithms","score":9.999999747378752e-05,"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/T10899","display_name":"Advanced Operator Algebra Research","score":9.999999747378752e-05,"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/matrix-means","display_name":"matrix means","score":0.9430000185966492},{"id":"https://openalex.org/keywords/positive-definite-matrices","display_name":"positive definite matrices","score":0.6930000185966492},{"id":"https://openalex.org/keywords/operator-monotone-functions","display_name":"operator monotone functions","score":0.7850000262260437},{"id":"https://openalex.org/keywords/interpolation-functions","display_name":"interpolation functions","score":0.8370000123977661},{"id":"https://openalex.org/keywords/symmetric-connections","display_name":"symmetric connections","score":0.9120000004768372}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4955512285232544},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4839611351490021},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.48202478885650635},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4764302670955658},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4045855700969696},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34623730182647705},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33312493562698364},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3204079270362854},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09437417984008789},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:irdb.nii.ac.jp:01221:0000154630","doi":null,"is_oa":true,"landing_page_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/03e3e54b-6fb3-4415-ab39-f0cd7675251d/download","pdf_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/03e3e54b-6fb3-4415-ab39-f0cd7675251d/download","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","raw_type":"departmental bulletin paper"},{"id":"pmh:oai:repository.kulib.kyoto-u.ac.jp:2433/195824","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2433/195824","pdf_url":"http://hdl.handle.net/2433/195824","source":{"id":"https://openalex.org/S4306401454","display_name":"Kyoto University Research Information Repository (Kyoto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I22299242","host_organization_name":"Kyoto University","host_organization_lineage":["https://openalex.org/I22299242"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Departmental Bulletin Paper"},{"id":"mag:1541689623","doi":null,"is_oa":false,"landing_page_url":"https://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/195824/1/1893-08.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306549803","display_name":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","issn_l":"1880-2818","issn":["1880-2818","2760-7046"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","raw_type":null}],"best_oa_location":{"id":"pmh:oai:irdb.nii.ac.jp:01221:0000154630","doi":null,"is_oa":true,"landing_page_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/03e3e54b-6fb3-4415-ab39-f0cd7675251d/download","pdf_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/03e3e54b-6fb3-4415-ab39-f0cd7675251d/download","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","raw_type":"departmental bulletin paper"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G7986502743","display_name":"Application of the non commutative Rokhlin property to Elliott classification problem","funder_award_id":"20540220","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1541689623.pdf","grobid_xml":"https://content.openalex.org/works/W1541689623.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1489998672","https://openalex.org/W197353349","https://openalex.org/W1823850439","https://openalex.org/W3217000207","https://openalex.org/W4408556193","https://openalex.org/W2151103845","https://openalex.org/W1872742608","https://openalex.org/W2057226965","https://openalex.org/W1945709461","https://openalex.org/W2076870660"],"abstract_inverted_index":{"Using":[0],"the":[1,5,39,51,60,71,77,87,96,111],"same":[2],"idea":[3],"of":[4,7,27,32,53,56,62,73,79,82,89,98,113,119],"definition":[6],"means":[8,26],"for":[9,17,107],"pos-":[10],"itive":[11],"operators":[12],"by":[13],"Kubo":[14],"and":[15,35,70],"Ando,":[16],"each":[18,108],"natural":[19],"number":[20],"$n$":[21,34,58,64,101,109,114],",":[22,110],"we":[23,42,104],"can":[24,43],"define":[25],"two":[28],"positive":[29,63,100],"definite":[30],"matrices":[31],"order":[33,57,83],"try":[36],"to":[37,47,59,95],"study":[38],"canonical":[40],"map:":[41],"describe":[44],"an":[45],"one":[46,48],"corresponding":[49,75],"from":[50],"class":[52,61,78,112],"matrix":[54],"connections":[55,91],"-monotone":[65,102],"functions":[66,81],"on":[67],"$(0,":[68],"\\infty)$":[69],"range":[72],"this":[74],"covers":[76],"interpolation":[80],"$2n$":[84],".In":[85],"particular,":[86],"space":[88,97],"symmetric":[90,99],"is":[92],"iso-":[93],"morphic":[94],"functions.Moreover,":[103],"show":[105],"that,":[106],"-connections":[115],"extremely":[116],"contains":[117],"that":[118],"$(n+2)$":[120],"-connections.":[121]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}