{"id":"https://openalex.org/W2145449214","doi":"https://doi.org/10.1155/s0161171204205117","title":"On non\u2010midpoint locally uniformly rotund normability in Banach spaces","display_name":"On non\u2010midpoint locally uniformly rotund normability in Banach spaces","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2145449214","doi":"https://doi.org/10.1155/s0161171204205117","mag":"2145449214"},"language":"en","primary_location":{"id":"doi:10.1155/s0161171204205117","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171204205117","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2004/747656.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2004/747656.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025503983","display_name":"Alireza Kamel Mirmostafaee","orcid":"https://orcid.org/0000-0003-4506-8546"},"institutions":[{"id":"https://openalex.org/I192805215","display_name":"Damghan University","ror":"https://ror.org/03v4m1x12","country_code":"IR","type":"education","lineage":["https://openalex.org/I192805215"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"A. K. Mirmostafaee","raw_affiliation_strings":["Department of Mathematics, Damghan University of Sciences,  P.O. Box 36715-364, Damghan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Damghan University of Sciences,  P.O. Box 36715-364, Damghan, Iran","institution_ids":["https://openalex.org/I192805215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025503983"],"corresponding_institution_ids":["https://openalex.org/I192805215"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.2150031,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2004","issue":"25","first_page":"1343","last_page":"1346"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.9998000264167786,"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":0.9998000264167786,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.98580002784729,"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/midpoint","display_name":"Midpoint","score":0.9231489300727844},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8948142528533936},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.7294305562973022},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6658651828765869},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5345427393913269},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.44681835174560547},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42212027311325073},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42182719707489014},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23635610938072205}],"concepts":[{"id":"https://openalex.org/C34130140","wikidata":"https://www.wikidata.org/wiki/Q1645406","display_name":"Midpoint","level":2,"score":0.9231489300727844},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8948142528533936},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7294305562973022},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6658651828765869},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5345427393913269},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.44681835174560547},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42212027311325073},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42182719707489014},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23635610938072205},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/s0161171204205117","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171204205117","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2004/747656.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:747656","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2004/747656.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:16cb56b3337f4ec28045ae90e9d08b3f","is_oa":true,"landing_page_url":"https://doaj.org/article/16cb56b3337f4ec28045ae90e9d08b3f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 25, Pp 1343-1346 (2004)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/s0161171204205117","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171204205117","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2004/747656.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2145449214.pdf","grobid_xml":"https://content.openalex.org/works/W2145449214.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1569878307","https://openalex.org/W1573866030","https://openalex.org/W1993923551","https://openalex.org/W2019011737","https://openalex.org/W2047604263","https://openalex.org/W2068046314","https://openalex.org/W2098949876","https://openalex.org/W2138993682","https://openalex.org/W2320585129","https://openalex.org/W2328405825","https://openalex.org/W2567539293","https://openalex.org/W4245698243","https://openalex.org/W4296760018","https://openalex.org/W6603321306"],"related_works":["https://openalex.org/W4288560703","https://openalex.org/W2033304667","https://openalex.org/W2387310429","https://openalex.org/W2367641551","https://openalex.org/W2010057865","https://openalex.org/W3040162855","https://openalex.org/W2481151534","https://openalex.org/W2363028408","https://openalex.org/W3212473031","https://openalex.org/W2392736212"],"abstract_inverted_index":{"We":[0],"will":[1],"show":[2],"that":[3,33],"if":[4],"X":[5],"is":[6],"a":[7,35],"tree\u2010complete":[8],"subspace":[9],"of":[10],"\u2113":[11],"\u221e":[12],",":[13,18],"which":[14],"contains":[15],"c":[16],"0":[17],"then":[19],"it":[20],"does":[21],"not":[22],"admit":[23],"any":[24],"weakly":[25],"midpoint":[26],"locally":[27],"uniformly":[28],"convex":[29],"renorming.":[30,41],"It":[31],"follows":[32],"such":[34],"space":[36],"has":[37],"no":[38],"equivalent":[39],"Kadec":[40]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}