{"id":"https://openalex.org/W7214633546","doi":"https://doi.org/10.48550/arxiv.2609.31276","title":"Explicity Defined Norms on $JT_*$ Spaces","display_name":"Explicity Defined Norms on $JT_*$ Spaces","publication_year":2026,"publication_date":"2026-09-25","ids":{"openalex":"https://openalex.org/W7214633546","doi":"https://doi.org/10.48550/arxiv.2609.31276"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.31276","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.31276","pdf_url":"https://arxiv.org/pdf/2609.31276","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/2609.31276","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073647433","display_name":"Spiros A. Argyros","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Argyros, Spiros A.","raw_affiliation_strings":["Department of Mathematics and Statistics , York University , 4700 Keele Street , Toronto , Ontario , M3J 1P3 , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , York University , 4700 Keele Street , Toronto , Ontario , M3J 1P3 , Canada","institution_ids":["https://openalex.org/I192455969"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038773763","display_name":"Pavlos Motakis","orcid":"https://orcid.org/0000-0002-4395-3931","observed_orcids":["https://orcid.org/0000-0002-4395-3931"]},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Motakis, Pavlos","raw_affiliation_strings":["Department of Mathematics and Statistics , York University , 4700 Keele Street , Toronto , Ontario , M3J 1P3 , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , York University , 4700 Keele Street , Toronto , Ontario , M3J 1P3 , Canada","institution_ids":["https://openalex.org/I192455969"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I192455969"],"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/T11049","display_name":"Advanced Harmonic Analysis Research","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-space-structure","display_name":"Banach space structure","score":0.6209999918937683}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8489999771118164},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7368999719619751},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.6151999831199646},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5745000243186951},{"id":"https://openalex.org/C40753290","wikidata":"https://www.wikidata.org/wiki/Q1139111","display_name":"Quotient space (topology)","level":3,"score":0.5019000172615051},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47929999232292175},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4790000021457672},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.47749999165534973},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4196999967098236},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.40529999136924744},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.392300009727478},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3668000102043152},{"id":"https://openalex.org/C6183050","wikidata":"https://www.wikidata.org/wiki/Q3058180","display_name":"Interpolation space","level":4,"score":0.32010000944137573},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.29420000314712524},{"id":"https://openalex.org/C152306953","wikidata":"https://www.wikidata.org/wiki/Q621744","display_name":"Approximation property","level":3,"score":0.2563000023365021},{"id":"https://openalex.org/C2777044963","wikidata":"https://www.wikidata.org/wiki/Q5384707","display_name":"Equivalence class (music)","level":2,"score":0.25519999861717224}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.31276","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.31276","pdf_url":"https://arxiv.org/pdf/2609.31276","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.2609.31276","doi":"https://doi.org/10.48550/arxiv.2609.31276","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.31276","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:2609.31276","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.31276","pdf_url":"https://arxiv.org/pdf/2609.31276","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214633546.pdf","grobid_xml":"https://content.openalex.org/works/W7214633546.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7172340658"],"related_works":["https://openalex.org/W3112294217","https://openalex.org/W1966817521","https://openalex.org/W1565888499","https://openalex.org/W2038052260","https://openalex.org/W2505853098","https://openalex.org/W2022601370","https://openalex.org/W1984930877","https://openalex.org/W3047326293","https://openalex.org/W1978812925","https://openalex.org/W2320274136"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,28],"Banach":[3],"space":[4,48],"$X_\u03b1$,":[5],"equipped":[6],"with":[7,32],"an":[8,60],"explicit":[9],"norm,":[10],"whose":[11],"properties":[12],"resemble":[13],"those":[14],"of":[15,19,38,63],"the":[16,20,33,36,66,74],"predual":[17],"$JT_*$":[18],"James":[21],"Tree":[22],"space.":[23],"In":[24],"particular,":[25],"$X_\u03b1$":[26,49],"admits":[27],"shrinking":[29],"dyadic":[30],"basis":[31],"property":[34],"that":[35],"sums":[37],"its":[39,54],"elements":[40],"over":[41],"any":[42],"segment":[43],"are":[44],"uniformly":[45],"bounded.":[46],"The":[47],"is":[50,69,77],"complementably":[51,71],"$\\ell_2$-saturated,":[52,72],"and":[53,73],"dual":[55],"$X_\u03b1^*$":[56],"does":[57],"not":[58],"contain":[59],"isomorphic":[61],"copy":[62],"$\\ell_1$.":[64],"Finally,":[65],"bidual":[67],"$X_\u03b1^{**}$":[68],"also":[70],"quotient":[75],"$X_\u03b1^{**}/X_\u03b1$":[76],"isometric":[78],"to":[79],"$c_0(2^{\\mathbb{N}})$.":[80]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-29T00:00:00"}