{"id":"https://openalex.org/W168768367","doi":null,"title":"ON THE COMMUTANT OF THE DIRECT SUM OF OPERATORS OF MULTIPLICATION BY THE INDEPENDENT VARIABLE","display_name":"ON THE COMMUTANT OF THE DIRECT SUM OF OPERATORS OF MULTIPLICATION BY THE INDEPENDENT VARIABLE","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W168768367","mag":"168768367"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.503.5896","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.503.5896","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.theta.ro/jot/archive/2000-043-001/2000-043-001-009.pdf","raw_type":"text"},"parent_works":[],"lineage":["https://openalex.org/W168768367"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":[],"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/A5035180947","display_name":"B. Khani Robati","orcid":"https://orcid.org/0000-0001-6290-0635","observed_orcids":["https://orcid.org/0000-0001-6290-0635"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"B. Khani Robati","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-6290-0635","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5010619094","display_name":"Karim Seddighi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K. Seddighi","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":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory","score":0.9980000257492065,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.9980000257492065,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.0006000000284984708,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.0005000000237487257,"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/centralizers","display_name":"centralizers","score":0.9520000219345093},{"id":"https://openalex.org/keywords/multiplication-operators","display_name":"multiplication operators","score":0.8059999942779541},{"id":"https://openalex.org/keywords/direct-sum-of-operators","display_name":"direct sum of operators","score":0.7250000238418579},{"id":"https://openalex.org/keywords/hilbert-function-spaces","display_name":"Hilbert spaces of functions","score":0.8130000233650208},{"id":"https://openalex.org/keywords/banach-function-spaces","display_name":"Banach function spaces","score":0.9869999885559082},{"id":"https://openalex.org/keywords/lipschitz-algebras","display_name":"Lipschitz algebras","score":0.9589999914169312},{"id":"https://openalex.org/keywords/multipliers","display_name":"multipliers","score":0.703000009059906},{"id":"https://openalex.org/keywords/compactly-supported-measures","display_name":"compactly supported measures","score":0.8510000109672546},{"id":"https://openalex.org/keywords/bounded-linear-operators","display_name":"bounded linear operators","score":0.5419999957084656}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.840438961982727},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.8179921507835388},{"id":"https://openalex.org/C75174853","wikidata":"https://www.wikidata.org/wiki/Q190629","display_name":"Centralizer and normalizer","level":2,"score":0.7960993051528931},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5830535888671875},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5283152461051941},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.4944899082183838},{"id":"https://openalex.org/C82916341","wikidata":"https://www.wikidata.org/wiki/Q6934990","display_name":"Multiplication operator","level":3,"score":0.48368650674819946},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.4800780415534973},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46404024958610535},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.4596725106239319},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4335895776748657},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2893485724925995},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11896032094955444},{"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/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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.503.5896","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.503.5896","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.theta.ro/jot/archive/2000-043-001/2000-043-001-009.pdf","raw_type":"text"},{"id":"mag:168768367","doi":null,"is_oa":false,"landing_page_url":"https://www.theta.ro/jot/archive/2000-043-001/2000-043-001-009.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1579931358","https://openalex.org/W1965291693","https://openalex.org/W1980476394","https://openalex.org/W1983510792","https://openalex.org/W2028187880","https://openalex.org/W2080296193","https://openalex.org/W2083592697","https://openalex.org/W2083669027","https://openalex.org/W2144333953","https://openalex.org/W2334681137"],"related_works":["https://openalex.org/W4411633993","https://openalex.org/W227334870","https://openalex.org/W34302989","https://openalex.org/W1999654580","https://openalex.org/W1986546179","https://openalex.org/W2062464951","https://openalex.org/W2142404514","https://openalex.org/W2038612335","https://openalex.org/W1596394287","https://openalex.org/W2055269561"],"abstract_inverted_index":{"Abstract.":[0],"Let":[1,64],"B":[2],"be":[3,66],"a":[4,67,95],"direct":[5,33],"sum":[6,34],"of":[7,9,13,18,31,35,38,46,50,57,61,80,89,97],"spaces":[8,45,49],"functions":[10,47],"on":[11,42,71,84],"each":[12],"which":[14],"the":[15,29,32,36,55,78,81,87,101],"operator":[16,82],"Mz":[17,58,83],"multiplication":[19,39],"by":[20,40],"z":[21,41],"(f":[22],"\u2192":[23],"zf)":[24],"is":[25],"bounded.":[26],"We":[27,76],"determine":[28,77],"commutant":[30,56,79],"operators":[37],"certain":[43],"Hilbert":[44],"(Banach":[48],"functions).":[51],"Also":[52],"we":[53],"characterize":[54],"and":[59,73],"multipliers":[60],"Lipschitz":[62],"algebras.":[63],"\u00b5":[65],"compactly":[68],"supported":[69],"measure":[70],"C":[72],"t>":[74],"1.":[75],"P":[85],"t(\u00b5),":[86],"closure":[88],"polynomials":[90],"in":[91],"Lt(\u00b5),":[92],"thus":[93],"extending":[94],"result":[96],"M.":[98],"Raphael":[99],"for":[100],"case":[102],"t":[103],"=":[104],"2.":[105]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
