{"id":"https://openalex.org/W2812285257","doi":"https://doi.org/10.1016/j.jmva.2018.06.011","title":"Commuter of operators in a Hilbert space","display_name":"Commuter of operators in a Hilbert space","publication_year":2018,"publication_date":"2018-07-07","ids":{"openalex":"https://openalex.org/W2812285257","doi":"https://doi.org/10.1016/j.jmva.2018.06.011","mag":"2812285257"},"language":"en","primary_location":{"id":"doi:10.1016/j.jmva.2018.06.011","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jmva.2018.06.011","pdf_url":"https://www.sciencedirect.com/science/article/am/pii/S0047259X17307418?via%3Dihub","source":{"id":"https://openalex.org/S133905466","display_name":"Journal of Multivariate Analysis","issn_l":"0047-259X","issn":["0047-259X","1095-7243"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Multivariate Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/am/pii/S0047259X17307418?via%3Dihub","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Alain Boudou","orcid":null},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I84500057","display_name":"Institut de Math\u00e9matiques de Toulouse","ror":"https://ror.org/014vp6c30","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I196454796","https://openalex.org/I4210092408","https://openalex.org/I4210126056","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I84500057"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alain Boudou","raw_affiliation_strings":["\u00c9quipe de Statistique et Probabilit\u00e9s, Institut de Math\u00e9matiques, UMR5219, Universit\u00e9 Paul-Sabatier, 118, route de Narbonne, F-31062 Toulouse Cedex 9, France","Institut de Math\u00e9matiques de Toulouse UMR5219"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9quipe de Statistique et Probabilit\u00e9s, Institut de Math\u00e9matiques, UMR5219, Universit\u00e9 Paul-Sabatier, 118, route de Narbonne, F-31062 Toulouse Cedex 9, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I84500057"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Toulouse UMR5219","institution_ids":["https://openalex.org/I84500057"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038620789","display_name":"Sylvie Viguier-Pla","orcid":"https://orcid.org/0000-0003-4068-1595"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I151295451","display_name":"Universit\u00e9 de Perpignan","ror":"https://ror.org/03am2jy38","country_code":"FR","type":"education","lineage":["https://openalex.org/I151295451"]},{"id":"https://openalex.org/I84500057","display_name":"Institut de Math\u00e9matiques de Toulouse","ror":"https://ror.org/014vp6c30","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I196454796","https://openalex.org/I4210092408","https://openalex.org/I4210126056","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I84500057"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sylvie Viguier-Pla","raw_affiliation_strings":["LAMPS, Universit\u00e9 de Perpignan, via Domitia, 52, avenue Paul-Alduy, 66860 Perpignan Cedex 9, France","\u00c9quipe de Statistique et Probabilit\u00e9s, Institut de Math\u00e9matiques, UMR5219, Universit\u00e9 Paul-Sabatier, 118, route de Narbonne, F-31062 Toulouse Cedex 9, France","LAboratoire de Mod\u00e9lisation Pluridisciplinaire et Simulations","Institut de Math\u00e9matiques de Toulouse UMR5219"],"raw_orcid":"https://orcid.org/0000-0003-4068-1595","affiliations":[{"raw_affiliation_string":"LAMPS, Universit\u00e9 de Perpignan, via Domitia, 52, avenue Paul-Alduy, 66860 Perpignan Cedex 9, France","institution_ids":["https://openalex.org/I151295451"]},{"raw_affiliation_string":"\u00c9quipe de Statistique et Probabilit\u00e9s, Institut de Math\u00e9matiques, UMR5219, Universit\u00e9 Paul-Sabatier, 118, route de Narbonne, F-31062 Toulouse Cedex 9, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I84500057"]},{"raw_affiliation_string":"LAboratoire de Mod\u00e9lisation Pluridisciplinaire et Simulations","institution_ids":[]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Toulouse UMR5219","institution_ids":["https://openalex.org/I84500057"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038620789"],"corresponding_institution_ids":["https://openalex.org/I134560555","https://openalex.org/I151295451","https://openalex.org/I84500057"],"apc_list":{"value":3060,"currency":"USD","value_usd":3060},"apc_paid":null,"fwci":0.157,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49290948,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"170","issue":null,"first_page":"244","last_page":"262"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.991599977016449,"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/T11236","display_name":"Control Systems and Identification","score":0.9872000217437744,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8761447072029114},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.7984719276428223},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.7511646747589111},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6085236072540283},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.5524522066116333},{"id":"https://openalex.org/keywords/unitary-operator","display_name":"Unitary operator","score":0.5414164066314697},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.5387974381446838},{"id":"https://openalex.org/keywords/operator-theory","display_name":"Operator theory","score":0.5215604305267334},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4923437833786011},{"id":"https://openalex.org/keywords/projector","display_name":"Projector","score":0.4728030562400818},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.467398464679718},{"id":"https://openalex.org/keywords/spectral-theory","display_name":"Spectral theory","score":0.4282667934894562},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.42237457633018494},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42236292362213135},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39711296558380127},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0766938328742981}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8761447072029114},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.7984719276428223},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.7511646747589111},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6085236072540283},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5524522066116333},{"id":"https://openalex.org/C188313703","wikidata":"https://www.wikidata.org/wiki/Q1972470","display_name":"Unitary operator","level":3,"score":0.5414164066314697},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.5387974381446838},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.5215604305267334},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4923437833786011},{"id":"https://openalex.org/C2776865275","wikidata":"https://www.wikidata.org/wiki/Q311666","display_name":"Projector","level":2,"score":0.4728030562400818},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.467398464679718},{"id":"https://openalex.org/C98306654","wikidata":"https://www.wikidata.org/wiki/Q2409122","display_name":"Spectral theory","level":3,"score":0.4282667934894562},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.42237457633018494},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42236292362213135},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39711296558380127},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0766938328742981},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.jmva.2018.06.011","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jmva.2018.06.011","pdf_url":"https://www.sciencedirect.com/science/article/am/pii/S0047259X17307418?via%3Dihub","source":{"id":"https://openalex.org/S133905466","display_name":"Journal of Multivariate Analysis","issn_l":"0047-259X","issn":["0047-259X","1095-7243"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Multivariate Analysis","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01896982v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01896982","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://linkinghub.elsevier.com/retrieve/pii/S0047259X17307418","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:eee:jmvana:v:170:y:2019:i:c:p:244-262","is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S0047259X17307418","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":{"id":"doi:10.1016/j.jmva.2018.06.011","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jmva.2018.06.011","pdf_url":"https://www.sciencedirect.com/science/article/am/pii/S0047259X17307418?via%3Dihub","source":{"id":"https://openalex.org/S133905466","display_name":"Journal of Multivariate Analysis","issn_l":"0047-259X","issn":["0047-259X","1095-7243"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Multivariate Analysis","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2812285257.pdf","grobid_xml":"https://content.openalex.org/works/W2812285257.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W619520426","https://openalex.org/W621923488","https://openalex.org/W649348608","https://openalex.org/W1576898078","https://openalex.org/W1776998237","https://openalex.org/W1827565145","https://openalex.org/W1904040769","https://openalex.org/W1969842547","https://openalex.org/W1999229776","https://openalex.org/W2003916726","https://openalex.org/W2030444577","https://openalex.org/W2103662698","https://openalex.org/W2887123218","https://openalex.org/W2963764214","https://openalex.org/W3016175113","https://openalex.org/W3040267042","https://openalex.org/W4205462863","https://openalex.org/W4285719527","https://openalex.org/W4301248347","https://openalex.org/W6639450376","https://openalex.org/W6754227948"],"related_works":["https://openalex.org/W2506419460","https://openalex.org/W1987283069","https://openalex.org/W4243633607","https://openalex.org/W72851634","https://openalex.org/W4252368726","https://openalex.org/W628388122","https://openalex.org/W3098459205","https://openalex.org/W3003465023","https://openalex.org/W4388291244","https://openalex.org/W2051529961"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-21T08:15:58.654021","created_date":"2025-10-10T00:00:00"}
