{"id":"https://openalex.org/W7213530860","doi":"https://doi.org/10.48550/arxiv.2609.18348","title":"Large ideals in B(L1(0,1))","display_name":"Large ideals in B(L1(0,1))","publication_year":2026,"publication_date":"2026-09-16","ids":{"openalex":"https://openalex.org/W7213530860","doi":"https://doi.org/10.48550/arxiv.2609.18348"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.18348","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.18348","pdf_url":"https://arxiv.org/pdf/2609.18348","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.18348","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004870269","display_name":"Amir Bahman Nasseri","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Nasseri, Amir Bahman","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5004870269"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9932000041007996,"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":0.9932000041007996,"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":0.006099999882280827,"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dunford-pettis-operators","display_name":"Dunford-Pettis operators","score":0.921999990940094},{"id":"https://openalex.org/keywords/l1-0-1","display_name":"L1[0,1]","score":0.8840000033378601},{"id":"https://openalex.org/keywords/convolution-operators","display_name":"convolution operators","score":0.593999981880188}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8468000292778015},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.8112000226974487},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.6079999804496765},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5181999802589417},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49470001459121704},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4440999925136566},{"id":"https://openalex.org/C118211362","wikidata":"https://www.wikidata.org/wiki/Q1203540","display_name":"Maximal ideal","level":3,"score":0.43309998512268066},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4083999991416931},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4050999879837036},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.366100013256073},{"id":"https://openalex.org/C82916341","wikidata":"https://www.wikidata.org/wiki/Q6934990","display_name":"Multiplication operator","level":3,"score":0.3617999851703644},{"id":"https://openalex.org/C45804927","wikidata":"https://www.wikidata.org/wiki/Q17098947","display_name":"Minimal ideal","level":4,"score":0.3571000099182129},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.3418999910354614},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.33090001344680786},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.3287999927997589},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.3237000107765198},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3165999948978424},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3068000078201294},{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.3046000003814697},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30149999260902405},{"id":"https://openalex.org/C196773441","wikidata":"https://www.wikidata.org/wiki/Q1475294","display_name":"Maximal element","level":3,"score":0.3010999858379364},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.262800008058548}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.18348","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.18348","pdf_url":"https://arxiv.org/pdf/2609.18348","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.2609.18348","doi":"https://doi.org/10.48550/arxiv.2609.18348","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.18348","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.18348","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.18348","pdf_url":"https://arxiv.org/pdf/2609.18348","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213530860.pdf","grobid_xml":"https://content.openalex.org/works/W7213530860.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W2171637978","https://openalex.org/W2798885647","https://openalex.org/W3005431886","https://openalex.org/W4402939277","https://openalex.org/W7213425244"],"related_works":["https://openalex.org/W4392087751","https://openalex.org/W4402939277","https://openalex.org/W2094483925","https://openalex.org/W3215552585","https://openalex.org/W7097103985","https://openalex.org/W1852954591","https://openalex.org/W7100382421","https://openalex.org/W1520143235","https://openalex.org/W6990059673","https://openalex.org/W2140414918"],"abstract_inverted_index":{"We":[0,61],"show":[1],"that":[2,64,134],"the":[3,18,21,35,46,65],"norm-closed":[4],"linear":[5],"span":[6],"of":[7,9,38,45,59,76,114],"products":[8],"two":[10,111],"Dunford-Pettis":[11,22,47,66,94],"operators":[12],"on":[13,105],"$L^1(0,1)$":[14],"lies":[15],"strictly":[16],"between":[17],"representable":[19],"and":[20,41,78,90,110],"operators.":[23,116],"This":[24],"gives":[25],"an":[26,139],"additional":[27],"proper":[28],"large":[29],"closed":[30,145],"ideal":[31,48,52,67,140],"in":[32],"$\\mathcal{B}(L^1(0,1))$,":[33],"answering":[34,73],"existence":[36],"question":[37,75],"Johnson,":[39],"Pisier":[40],"Schechtman.":[42,79],"The":[43,97,117],"quotient":[44],"by":[49],"this":[50],"square":[51],"contains":[53],"a":[54,74,82,106,127],"contractively":[55],"complemented":[56],"isometric":[57],"copy":[58],"$L^1(0,1)$.":[60],"also":[62],"prove":[63,133],"has":[68],"no":[69],"right":[70],"approximate":[71],"identity,":[72],"Johnson":[77],"More":[80],"precisely,":[81],"positive":[83,115],"norm-one":[84],"convolution":[85],"operator":[86,95],"$R$":[87],"satisfies":[88],"$\\|R-RT\\|\\geq1$":[89],"$\\|R-TR\\|\\geq1$":[91],"for":[92,138],"every":[93,122],"$T$.":[96],"proofs":[98],"combine":[99],"translation":[100],"averaging,":[101],"Rajchman":[102],"measures":[103],"supported":[104],"strongly":[107],"independent":[108],"set,":[109],"atomless":[112,129],"disintegrations":[113],"approximate-identity":[118],"obstruction":[119],"extends":[120],"to":[121,142],"finite":[123],"measure":[124],"space":[125],"with":[126],"nonzero":[128],"part.":[130],"Finally,":[131],"we":[132],"quantitative":[135],"multiplication":[136],"estimates":[137],"pass":[141],"all":[143],"its":[144],"power":[146],"ideals.":[147]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-18T00:00:00"}
