{"id":"https://openalex.org/W1992625780","doi":"https://doi.org/10.1155/s0161171201005166","title":"Vector\u2010valued sequence spaces generated by infinite matrices","display_name":"Vector\u2010valued sequence spaces generated by infinite matrices","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1992625780","doi":"https://doi.org/10.1155/s0161171201005166","mag":"1992625780"},"language":"en","primary_location":{"id":"doi:10.1155/s0161171201005166","doi":"https://doi.org/10.1155/s0161171201005166","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171201005166","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2001/824723.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,"listed_in":["anvur-scientific","cwts-core","doaj","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"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"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2001/824723.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060963675","display_name":"Nandita Rath","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Nandita Rath","raw_affiliation_strings":["Department of Mathematics and Statistics , University of Western Australia , Nedlands , Australia","School of Mathematics and Statistics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , University of Western Australia , Nedlands , Australia","institution_ids":["https://openalex.org/I177877127"]},{"raw_affiliation_string":"School of Mathematics and Statistics","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060963675"],"corresponding_institution_ids":["https://openalex.org/I177877127"],"apc_list":{"value":1240,"currency":"USD","value_usd":1240},"apc_paid":{"value":1240,"currency":"USD","value_usd":1240},"fwci":0.4095,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.65568987,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"9","first_page":"547","last_page":"560"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9663000106811523,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9663000106811523,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11545","display_name":"Advanced Banach Space Theory","score":0.030500000342726707,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.00019999999494757503,"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/vector-valued-sequence-spaces","display_name":"vector-valued sequence spaces","score":0.9710000157356262},{"id":"https://openalex.org/keywords/infinite-matrices","display_name":"infinite matrices","score":0.8880000114440918},{"id":"https://openalex.org/keywords/paranormed-sequence-spaces","display_name":"paranormed sequence spaces","score":0.9679999947547913},{"id":"https://openalex.org/keywords/separability","display_name":"separability","score":0.7889999747276306},{"id":"https://openalex.org/keywords/completeness","display_name":"completeness","score":0.9890000224113464},{"id":"https://openalex.org/keywords/generalized-sequence-spaces","display_name":"generalized sequence spaces","score":0.6230000257492065}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8811533451080322},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7981564998626709},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.6359873414039612},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5816024541854858},{"id":"https://openalex.org/C30711495","wikidata":"https://www.wikidata.org/wiki/Q289411","display_name":"Sequence space","level":3,"score":0.5748283267021179},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5668665766716003},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5048709511756897},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5019690990447998},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.43132054805755615},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.323103666305542},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.3150519132614136},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3006832003593445},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1365554928779602},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07045581936836243},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/s0161171201005166","doi":"https://doi.org/10.1155/s0161171201005166","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171201005166","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2001/824723.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,"listed_in":["anvur-scientific","cwts-core","doaj","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"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:pure.atira.dk:publications/eaeacf70-3559-4fba-851f-64ef49d0f2ba","doi":null,"is_oa":false,"landing_page_url":"http://research-repository.uwa.edu.au/en/publications/vectorvalued-sequence-spaces-generated-by-infinite-matrices(eaeacf70-3559-4fba-851f-64ef49d0f2ba).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402492","display_name":"UWA Profiles and Research Repository (UWA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Rath, N 2001, 'Vector-Valued Sequence Spaces Generated by Infinite Matrices', International Journal of Mathematics and Mathematical Sciences, vol. 26, pp. 547-650.","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:hin:jijmms:824723","doi":null,"is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/26/824723.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,"listed_in":[],"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:50769f4752954742b6977e517251488c","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/50769f4752954742b6977e517251488c","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,"listed_in":[],"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 26, Iss 9, Pp 547-560 (2001)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/s0161171201005166","doi":"https://doi.org/10.1155/s0161171201005166","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171201005166","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2001/824723.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,"listed_in":["anvur-scientific","cwts-core","doaj","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"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":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1992625780.pdf","grobid_xml":"https://content.openalex.org/works/W1992625780.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W348098719","https://openalex.org/W1508959407","https://openalex.org/W1533832582","https://openalex.org/W1556760457","https://openalex.org/W1970966445","https://openalex.org/W2007771251","https://openalex.org/W2020150158","https://openalex.org/W2025453278","https://openalex.org/W2035922960","https://openalex.org/W2072101302","https://openalex.org/W2082499482","https://openalex.org/W2107581249","https://openalex.org/W2123740686","https://openalex.org/W2142258690","https://openalex.org/W2313240144","https://openalex.org/W2313909068","https://openalex.org/W2798075351","https://openalex.org/W3038830718","https://openalex.org/W4255194802"],"related_works":["https://openalex.org/W1588483307","https://openalex.org/W2047294383","https://openalex.org/W2004145558","https://openalex.org/W4296589634","https://openalex.org/W2031593995","https://openalex.org/W4293569463","https://openalex.org/W1557987663","https://openalex.org/W2165957982","https://openalex.org/W1983139066","https://openalex.org/W2963476473"],"abstract_inverted_index":{"Let":[0],"A":[1,28],"=":[2],"(ank)":[3],"be":[4],"an":[5],"infinite":[6],"matrix":[7,27],"with":[8],"all":[9,43],"ank":[10],"\u2265":[11],"0":[12],"and":[13,24,37,55,71],"P":[14],"a":[15],"bounded,":[16],"positive":[17],"real":[18],"sequence.":[19],"For":[20],"normed":[21],"spaces":[22,32,67],"E":[23],"Ek":[25],"the":[26,44],"generates":[29],"paranormed":[30,66],"sequence":[31,46],"such":[33,48],"as":[34,49],"[A,P]\u221e((Ek)),":[35],"[A,P]0((Ek)),":[36],"[A,":[38],"P](E)":[39],"which":[40,63],"generalize":[41],"almost":[42],"existing":[45],"spaces,":[47],"l\u221e,":[50],"c0,":[51],"c,":[52],"lp,":[53],"wp,":[54],"several":[56],"others.":[57],"In":[58],"this":[59],"paper,":[60],"conditions":[61],"under":[62],"these":[64],"three":[65],"are":[68,73],"separable,":[69],"complete,":[70],"r\u2010convex,":[72],"established.":[74]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}