{"id":"https://openalex.org/W7214047451","doi":"https://doi.org/10.48550/arxiv.2609.24414","title":"Transfinite octahedrality in spaces of operators","display_name":"Transfinite octahedrality in spaces of operators","publication_year":2026,"publication_date":"2026-09-21","ids":{"openalex":"https://openalex.org/W7214047451","doi":"https://doi.org/10.48550/arxiv.2609.24414"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.24414","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.24414","pdf_url":"https://arxiv.org/pdf/2609.24414","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/2609.24414","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068732387","display_name":"Abraham Rueda Zoca","orcid":"https://orcid.org/0000-0003-0718-1353","observed_orcids":["https://orcid.org/0000-0003-0718-1353"]},"institutions":[{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Zoca, Abraham Rueda","raw_affiliation_strings":["Universidad de Granada , Facultad de Ciencias. Departamento de An\u00e1lisis Matem\u00e1tico , 18071- Granada ( Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad de Granada , Facultad de Ciencias. Departamento de An\u00e1lisis Matem\u00e1tico , 18071- Granada ( Spain","institution_ids":["https://openalex.org/I173304897"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5068732387"],"corresponding_institution_ids":["https://openalex.org/I173304897"],"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":0.9994999766349792,"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":0.9994999766349792,"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":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"}},{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory","score":0.0,"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/banach-spaces-of-operators","display_name":"Banach spaces of operators","score":0.8130000233650208},{"id":"https://openalex.org/keywords/operator-spaces","display_name":"operator spaces","score":0.5379999876022339},{"id":"https://openalex.org/keywords/geometry-of-banach-spaces","display_name":"Banach space geometry","score":0.5889999866485596}],"concepts":[{"id":"https://openalex.org/C147358099","wikidata":"https://www.wikidata.org/wiki/Q1069891","display_name":"Transfinite number","level":2,"score":0.9409000277519226},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7694000005722046},{"id":"https://openalex.org/C167930466","wikidata":"https://www.wikidata.org/wiki/Q1535225","display_name":"Ultraproduct","level":2,"score":0.7538999915122986},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7394999861717224},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5598000288009644},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4569999873638153},{"id":"https://openalex.org/C152306953","wikidata":"https://www.wikidata.org/wiki/Q621744","display_name":"Approximation property","level":3,"score":0.3790000081062317},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.36149999499320984},{"id":"https://openalex.org/C165593952","wikidata":"https://www.wikidata.org/wiki/Q3554819","display_name":"Banach manifold","level":4,"score":0.3560999929904938},{"id":"https://openalex.org/C6183050","wikidata":"https://www.wikidata.org/wiki/Q3058180","display_name":"Interpolation space","level":4,"score":0.32679998874664307},{"id":"https://openalex.org/C172294467","wikidata":"https://www.wikidata.org/wiki/Q305936","display_name":"Lp space","level":3,"score":0.31200000643730164},{"id":"https://openalex.org/C19496378","wikidata":"https://www.wikidata.org/wiki/Q846542","display_name":"C0-semigroup","level":3,"score":0.30059999227523804},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29589998722076416},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2800000011920929},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.2743000090122223},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2567000091075897},{"id":"https://openalex.org/C55112680","wikidata":"https://www.wikidata.org/wiki/Q190549","display_name":"Functional analysis","level":3,"score":0.2547000050544739}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.24414","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.24414","pdf_url":"https://arxiv.org/pdf/2609.24414","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.2609.24414","doi":"https://doi.org/10.48550/arxiv.2609.24414","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.24414","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.24414","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.24414","pdf_url":"https://arxiv.org/pdf/2609.24414","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":[{"id":"https://openalex.org/G301148038","display_name":null,"funder_award_id":"PID2021-122126NB-C31","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G53827815","display_name":null,"funder_award_id":"PID2021-122126NB- C31","funder_id":"https://openalex.org/F4320326754","funder_display_name":"Junta de Andaluc\u00eda"},{"id":"https://openalex.org/G5653744856","display_name":null,"funder_award_id":"FQM-0185","funder_id":"https://openalex.org/F4320326754","funder_display_name":"Junta de Andaluc\u00eda"},{"id":"https://openalex.org/G7626972671","display_name":null,"funder_award_id":"PID2021-122126NB- C31","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8189895265","display_name":null,"funder_award_id":"FQM-0185","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320326754","display_name":"Junta de Andaluc\u00eda","ror":"https://ror.org/01jem9c82"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":"https://ror.org/003x0zc53"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214047451.pdf","grobid_xml":"https://content.openalex.org/works/W7214047451.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W4416012562","https://openalex.org/W7129018782","https://openalex.org/W7154623509"],"related_works":["https://openalex.org/W4318200395","https://openalex.org/W2518417967","https://openalex.org/W2809283715","https://openalex.org/W1994452659","https://openalex.org/W2810542420","https://openalex.org/W1964624455","https://openalex.org/W7099190554","https://openalex.org/W2009640626","https://openalex.org/W4403128004","https://openalex.org/W2086226900"],"abstract_inverted_index":{"We":[0,23,57],"study":[1],"necessary":[2],"and":[3],"sufficient":[4],"conditions":[5],"on":[6],"a":[7],"Banach":[8,20,44],"space":[9,21,45],"$X$":[10],"such":[11,28],"that":[12],"$L(Y,X)$":[13],"is":[14,47],"transfinite":[15,53],"(rigid)":[16],"octahedral":[17,49],"for":[18],"any":[19,52],"$Y$.":[22],"present":[24],"several":[25],"examples":[26],"of":[27,32,43,55],"$X$.":[29],"As":[30],"application":[31],"our":[33],"results,":[34],"we":[35],"find":[36],"the":[37,41],"first":[38],"example":[39],"in":[40,65],"literature":[42],"which":[46],"rigid":[48],"but":[50],"fails":[51],"version":[54],"octahedrality.":[56],"also":[58],"improve":[59],"some":[60],"previous":[61],"results":[62],"about":[63],"octahedrality":[64],"ultrapower":[66],"spaces.":[67]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-23T00:00:00"}