{"id":"https://openalex.org/W7212325686","doi":"https://doi.org/10.48550/arxiv.2609.10747","title":"Structural consequences of the Schur $p$-property for Lipschitz-free $p$-spaces","display_name":"Structural consequences of the Schur $p$-property for Lipschitz-free $p$-spaces","publication_year":2026,"publication_date":"2026-09-09","ids":{"openalex":"https://openalex.org/W7212325686","doi":"https://doi.org/10.48550/arxiv.2609.10747"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.10747","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.10747","pdf_url":"https://arxiv.org/pdf/2609.10747","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/2609.10747","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5128679390","display_name":"Fernando Albiac","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I168974976","display_name":"Universidad de La Rioja","ror":"https://ror.org/0553yr311","country_code":"ES","type":"education","lineage":["https://openalex.org/I168974976"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Albiac, Fernando","raw_affiliation_strings":["Department of Mathematics and Computer Sciences , Universidad de La Rioja , Logro\u00f1o , 26004 Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Sciences , Universidad de La Rioja , Logro\u00f1o , 26004 Spain","institution_ids":["https://openalex.org/I168974976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075301768","display_name":"Jos\u00e9 Luis Ansorena","orcid":"https://orcid.org/0000-0002-4979-1080","observed_orcids":["https://orcid.org/0000-0002-4979-1080"]},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad P\u00fablica de Navarra (UPNA)","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]},{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ","ES"],"is_corresponding":false,"raw_author_name":"Ansorena, Jos\u00e9 L.","raw_affiliation_strings":["Department of Mathematics , Statistics and Computer Sciences , Public University of Navarre , Campus de Arrosad\u00eda , 31006 Pamplona , Spain","Faculty of Mathematics and Physics , Department of Mathematical Analysis , Charles University , 186 75 Praha 8 , Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Statistics and Computer Sciences , Public University of Navarre , Campus de Arrosad\u00eda , 31006 Pamplona , Spain","institution_ids":["https://openalex.org/I175051016"]},{"raw_affiliation_string":"Faculty of Mathematics and Physics , Department of Mathematical Analysis , Charles University , 186 75 Praha 8 , Czech Republic","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065460820","display_name":"Marek C\u00fath","orcid":"https://orcid.org/0000-0001-6688-8004","observed_orcids":["https://orcid.org/0000-0001-6688-8004"]},"institutions":[{"id":"https://openalex.org/I4405254159","display_name":"Institute for Advanced Materials and Mathematics","ror":"https://ror.org/01g16ph33","country_code":"ES","type":"facility","lineage":["https://openalex.org/I175051016","https://openalex.org/I4405254159"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"C\u00fath, Marek","raw_affiliation_strings":["Institute for Advanced Materials and Mathematics (INAMAT 2 ) and"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Advanced Materials and Mathematics (INAMAT 2 ) and","institution_ids":["https://openalex.org/I4405254159"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"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":0.9990000128746033,"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":0.9990000128746033,"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/T13234","display_name":"p-Adic Analysis and Mathematical Physics","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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/lipschitz-free-spaces","display_name":"Lipschitz-free spaces","score":0.9200000166893005},{"id":"https://openalex.org/keywords/banach-spaces","display_name":"Banach spaces","score":0.5659999847412109},{"id":"https://openalex.org/keywords/schur-property","display_name":"Schur property","score":0.5180000066757202}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42590001225471497},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3508000075817108},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.2694000005722046},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2547000050544739},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.25380000472068787},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.2515000104904175},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24979999661445618},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.2485000044107437},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2475000023841858}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.10747","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.10747","pdf_url":"https://arxiv.org/pdf/2609.10747","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.2609.10747","doi":"https://doi.org/10.48550/arxiv.2609.10747","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.10747","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:2609.10747","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.10747","pdf_url":"https://arxiv.org/pdf/2609.10747","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/G1175115578","display_name":null,"funder_award_id":"AEI//10.13039/501100011033/","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2262748287","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G300979063","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G410571670","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G425668148","display_name":null,"funder_award_id":".13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G451917667","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G5080475149","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G5539308778","display_name":null,"funder_award_id":"AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G5967599077","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G6731467812","display_name":null,"funder_award_id":"PGC2018","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G7084143925","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8178315791","display_name":null,"funder_award_id":"PGC2018","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"},{"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/W7212325686.pdf","grobid_xml":"https://content.openalex.org/works/W7212325686.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W2044216420","https://openalex.org/W2084546844","https://openalex.org/W2085349957","https://openalex.org/W2246591971","https://openalex.org/W2899017260","https://openalex.org/W2925162738","https://openalex.org/W2945858065","https://openalex.org/W7116694270","https://openalex.org/W7147206448"],"related_works":["https://openalex.org/W2564527712","https://openalex.org/W4417308656","https://openalex.org/W2610102896","https://openalex.org/W7116694270","https://openalex.org/W2294527455","https://openalex.org/W7149029488","https://openalex.org/W4416551364","https://openalex.org/W3186913872","https://openalex.org/W6966747771","https://openalex.org/W2899017260"],"abstract_inverted_index":{"Let":[0],"$0":[1]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-12T00:00:00"}
