{"id":"https://openalex.org/W110840685","doi":null,"title":"Hereditarily normaloid operators","display_name":"Hereditarily normaloid operators","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W110840685","mag":"110840685"},"language":"en","primary_location":{"id":"pmh:oai:dehesa.unex.es:10662/16829","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10662/16829","pdf_url":null,"source":{"id":"https://openalex.org/S4306401011","display_name":"Institutional Repository University of Extremadura (University of Extremadura)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I80606768","host_organization_name":"Universidad de Extremadura","host_organization_lineage":["https://openalex.org/I80606768"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/acceptedVersion"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10662/16829","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049995287","display_name":"Bhagwati Prashad Duggal","orcid":"https://orcid.org/0000-0003-4023-0874","observed_orcids":["https://orcid.org/0000-0003-4023-0874"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"B. P. Duggal","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-4023-0874","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5049995287"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.7891,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.97993062,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":96},"biblio":{"volume":"20","issue":"2","first_page":"203","last_page":"217"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.6470000147819519,"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"}},"topics":[{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.6470000147819519,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.3208000063896179,"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":0.008700000122189522,"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/riesz-projection","display_name":"Riesz projection","score":0.6759999990463257},{"id":"https://openalex.org/keywords/self-adjointness","display_name":"self-adjointness","score":0.6980000138282776},{"id":"https://openalex.org/keywords/single-valued-extension-property","display_name":"single-valued extension property","score":0.9459999799728394},{"id":"https://openalex.org/keywords/weyl-spectrum","display_name":"Weyl spectrum","score":0.8349999785423279},{"id":"https://openalex.org/keywords/banach-space-operators","display_name":"Banach space operators","score":0.722000002861023}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7913854122161865},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.5921337604522705},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.5348803997039795},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5100730061531067},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4656413793563843},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4325457811355591},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4259134829044342},{"id":"https://openalex.org/C79013869","wikidata":"https://www.wikidata.org/wiki/Q1780743","display_name":"Compact operator","level":3,"score":0.4135745167732239},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.3721911907196045},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3721659779548645},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06346800923347473},{"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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:dehesa.unex.es:10662/16829","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10662/16829","pdf_url":null,"source":{"id":"https://openalex.org/S4306401011","display_name":"Institutional Repository University of Extremadura (University of Extremadura)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I80606768","host_organization_name":"Universidad de Extremadura","host_organization_lineage":["https://openalex.org/I80606768"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/acceptedVersion"},{"id":"pmh:oai:dialnet.unirioja.es:ART0000237043","doi":null,"is_oa":false,"landing_page_url":"https://dialnet.unirioja.es/servlet/oaiart?codigo=2269657","pdf_url":null,"source":{"id":"https://openalex.org/S4306401293","display_name":"Dialnet (Universidad de la Rioja)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I168974976","host_organization_name":"Universidad de La Rioja","host_organization_lineage":["https://openalex.org/I168974976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Extracta mathematicae, ISSN 0213-8743, Vol. 20, N\u00ba 2, 2005, pags. 203-217","raw_type":"text (article)"},{"id":"mag:110840685","doi":null,"is_oa":true,"landing_page_url":"https://dialnet.unirioja.es/descarga/articulo/2269657.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4210178058","display_name":"Extracta Mathematicae","issn_l":"0213-8743","issn":["0213-8743","2605-5686"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","ddh","doaj","latindex","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310321474","host_organization_name":"University of Extremadura","host_organization_lineage":["https://openalex.org/P4310321474"],"host_organization_lineage_names":["University of Extremadura"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Extracta Mathematicae","raw_type":null}],"best_oa_location":{"id":"pmh:oai:dehesa.unex.es:10662/16829","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10662/16829","pdf_url":null,"source":{"id":"https://openalex.org/S4306401011","display_name":"Institutional Repository University of Extremadura (University of Extremadura)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I80606768","host_organization_name":"Universidad de Extremadura","host_organization_lineage":["https://openalex.org/I80606768"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/acceptedVersion"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2075576155","https://openalex.org/W2045116188","https://openalex.org/W1974851953","https://openalex.org/W2067139786","https://openalex.org/W2034436136","https://openalex.org/W2020419612","https://openalex.org/W2018792270","https://openalex.org/W4252844734","https://openalex.org/W2091483733","https://openalex.org/W4231801737"],"abstract_inverted_index":{"A":[0],"Banach":[1],"space":[2,105],"operator":[3,134],"T":[4,14,21,24,31,39,44,49,53,82,97,121,130,165],"belonging":[5],"to":[6,10,157],"B(X)":[7],"is":[8,22,27,40,56,66,107],"said":[9],"be":[11],"hereditarily":[12,29],"normaloid,":[13,30],"\u00ce":[15,25,32,45,50,83,95,98,122,166],"HN,":[16],"if":[17,34,47,109,112],"every":[18,35,60],"part":[19,37],"of":[20,38,72,77,151],"normaloid;":[23,42],"HN":[26,58],"totally":[28],"THN,":[33],"invertible":[36],"also":[41],"and":[43,85,110,131,160],"CHN":[46,65,99,123],"either":[48],"THN":[51],"or":[52],"-":[54,114,118],"?I":[55],"in":[57,147],"for":[59,102,163],"complex":[61],"number":[62,71],"?.":[63],"Class":[64],"large;":[67],"it":[68],"contains":[69],"a":[70,93],"the":[73,88,125,132,137,148],"commonly":[74],"considered":[75],"classes":[76],"operators.":[78],"We":[79],"study":[80],"operators":[81,164],"CHN,":[84],"prove":[86,158],"that":[87,128],"Riesz":[89],"projection":[90],"associated":[91],"with":[92],"?":[94,143],"isos(T),":[96],"n":[100],"B(H)":[101],"some":[103],"Hilbert":[104],"H,":[106],"self-adjoint":[108],"only":[111],"(T":[113],"?I)-1(0)":[115],"\u00cd":[116],"(T*":[117],"?I)-1(0).":[119],"Operators":[120],"have":[124,136],"important":[126],"property":[127,140,156],"both":[129],"conjugate":[133],"T*":[135],"single-valued":[138],"extension":[139],"at":[141],"points":[142],"which":[144],"are":[145],"nor":[146],"Weyl":[149],"spectrum":[150],"T;":[152],"we":[153],"exploit":[154],"this":[155],"a-Browder":[159],"a-Weyl":[161],"theorems":[162],"CHN.":[167]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2016-06-24T00:00:00"}