{"id":"https://openalex.org/W2166046352","doi":"https://doi.org/10.2307/2586800","title":"Stable models and reflexive banach spaces","display_name":"Stable models and reflexive banach spaces","publication_year":1999,"publication_date":"1999-12-01","ids":{"openalex":"https://openalex.org/W2166046352","doi":"https://doi.org/10.2307/2586800","mag":"2166046352"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.2307/2586800","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056456551","display_name":"Jos\u00e9 Iovino","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"funder","lineage":["https://openalex.org/I5023651"]},{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"funder","lineage":["https://openalex.org/I74973139"]}],"countries":["CA","US"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 Iovino","raw_affiliation_strings":["Department of Mathematical Sciences, Carnegie Mellon UniversityPittsburgh, PA 15213, USA","Department of Mathematics and Statistics, McGill University, 805 Sherbrooke str. west, Montr\u00e9al, Qu\u00e9bec, Canada, H31 2K6, E-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, McGill University, 805 Sherbrooke str. west, Montr\u00e9al, Qu\u00e9bec, Canada, H31 2K6, E-mail:","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon UniversityPittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056456551"],"corresponding_institution_ids":["https://openalex.org/I5023651","https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":9,"citation_normalized_percentile":{"value":0.480311,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":77,"max":78},"biblio":{"volume":"64","issue":"4","first_page":"1595","last_page":"1600"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.9996,"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":0.9996,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9983,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.9961,"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/unit-sphere","display_name":"Unit sphere","score":0.71575624},{"id":"https://openalex.org/keywords/reflexivity","display_name":"Reflexivity","score":0.635039},{"id":"https://openalex.org/keywords/uniformly-convex-space","display_name":"Uniformly convex space","score":0.5609334},{"id":"https://openalex.org/keywords/reflexive-space","display_name":"Reflexive space","score":0.5484196},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.42121235}],"concepts":[{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.82333434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7531028},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.71575624},{"id":"https://openalex.org/C13200473","wikidata":"https://www.wikidata.org/wiki/Q2747831","display_name":"Reflexivity","level":2,"score":0.635039},{"id":"https://openalex.org/C123413131","wikidata":"https://www.wikidata.org/wiki/Q847535","display_name":"Uniformly convex space","level":5,"score":0.5609334},{"id":"https://openalex.org/C33549677","wikidata":"https://www.wikidata.org/wiki/Q2032198","display_name":"Reflexive space","level":5,"score":0.5484196},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5309883},{"id":"https://openalex.org/C184908153","wikidata":"https://www.wikidata.org/wiki/Q2226650","display_name":"Eberlein\u2013\u0160mulian theorem","level":4,"score":0.46084026},{"id":"https://openalex.org/C165593952","wikidata":"https://www.wikidata.org/wiki/Q3554819","display_name":"Banach manifold","level":4,"score":0.4376118},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.42121235},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34371746},{"id":"https://openalex.org/C6183050","wikidata":"https://www.wikidata.org/wiki/Q3058180","display_name":"Interpolation space","level":4,"score":0.3196382},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29043162},{"id":"https://openalex.org/C172294467","wikidata":"https://www.wikidata.org/wiki/Q305936","display_name":"Lp space","level":3,"score":0.26057792},{"id":"https://openalex.org/C55112680","wikidata":"https://www.wikidata.org/wiki/Q190549","display_name":"Functional analysis","level":3,"score":0.113767445},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.2307/2586800","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":10,"referenced_works":["https://openalex.org/W1035206322","https://openalex.org/W1521379649","https://openalex.org/W1533832582","https://openalex.org/W1990940497","https://openalex.org/W2000682115","https://openalex.org/W2007810353","https://openalex.org/W2008315727","https://openalex.org/W2058708231","https://openalex.org/W4229636845","https://openalex.org/W4233829414"],"related_works":["https://openalex.org/W2963869099","https://openalex.org/W2519014808","https://openalex.org/W2355081034","https://openalex.org/W2166046352","https://openalex.org/W2071984578","https://openalex.org/W2051236845","https://openalex.org/W2024010929","https://openalex.org/W1981237405","https://openalex.org/W1685698309","https://openalex.org/W1185512018"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"show":[2],"that":[3],"a":[4,31,46],"formula":[5,41],"\u03c6(x,":[6],"y)":[7],"is":[8,15,30,43],"stable":[9],"if":[10,13,39],"and":[11],"only":[12],"\u03c6":[14,42],"the":[16,20,40],"pairing":[17],"map":[18],"on":[19],"unit":[21],"ball":[22],"of":[23,48],"E":[24,29],"\u00d7":[25],"E*":[26],",":[27],"where":[28],"reflexive":[32],"Banach":[33],"space.":[34],"The":[35],"result":[36],"remains":[37],"true":[38],"replaced":[44],"by":[45],"set":[47],"formulas":[49],".":[50]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2166046352","counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2025-03-21T21:03:07.156662","created_date":"2016-06-24"}