{"id":"https://openalex.org/W84025341","doi":"https://doi.org/10.1515/gmj.2000.43","title":"Convergent Rearrangements of Series of Vector-Valued Functions","display_name":"Convergent Rearrangements of Series of Vector-Valued Functions","publication_year":2000,"publication_date":"2000-03-01","ids":{"openalex":"https://openalex.org/W84025341","doi":"https://doi.org/10.1515/gmj.2000.43","mag":"84025341"},"language":"en","primary_location":{"id":"doi:10.1515/gmj.2000.43","doi":"https://doi.org/10.1515/gmj.2000.43","is_oa":false,"landing_page_url":"https://doi.org/10.1515/gmj.2000.43","pdf_url":null,"source":{"id":"https://openalex.org/S85666469","display_name":"Georgian Mathematical Journal","issn_l":"1072-947X","issn":["1072-947X","1572-9176"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Georgian Mathematical Journal","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5005304403","display_name":"George Giorgobiani","orcid":"https://orcid.org/0000-0002-4464-1497","observed_orcids":["https://orcid.org/0000-0002-4464-1497"]},"institutions":[{"id":"https://openalex.org/I2800265760","display_name":"Georgian National Academy of Sciences","ror":"https://ror.org/05aav2h42","country_code":"GE","type":"education","lineage":["https://openalex.org/I2800265760"]}],"countries":["GE"],"is_corresponding":true,"raw_author_name":"G. Giorgobiani","raw_affiliation_strings":["N. Muskhelishvili Institute of Computational Mathematics, Georgian Academy of Sciences, 8, Akuri St., Tbilisi 380093, Georgia. E-mail: bachana@scien.compmath.acnet.ge"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"N. Muskhelishvili Institute of Computational Mathematics, Georgian Academy of Sciences, 8, Akuri St., Tbilisi 380093, Georgia. E-mail: bachana@scien.compmath.acnet.ge","institution_ids":["https://openalex.org/I2800265760"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005304403"],"corresponding_institution_ids":["https://openalex.org/I2800265760"],"apc_list":{"value":2400,"currency":"EUR","value_usd":2712},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"7","issue":"1","first_page":"43","last_page":"51"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.9491999745368958,"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":0.9491999745368958,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.03099999949336052,"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"}},{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.012199999764561653,"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/rearrangement-of-series","display_name":"rearrangement of series","score":0.8109999895095825},{"id":"https://openalex.org/keywords/vector-valued-functions","display_name":"vector-valued functions","score":0.8740000128746033},{"id":"https://openalex.org/keywords/orlicz-spaces","display_name":"Orlicz spaces","score":0.996999979019165},{"id":"https://openalex.org/keywords/almost-everywhere-convergence","display_name":"almost everywhere convergence","score":0.9900000095367432},{"id":"https://openalex.org/keywords/series-of-functions","display_name":"series of functions","score":0.652999997138977},{"id":"https://openalex.org/keywords/sufficient-conditions-for-convergence","display_name":"sufficient conditions for convergence","score":0.7009999752044678}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8800083994865417},{"id":"https://openalex.org/C1115519","wikidata":"https://www.wikidata.org/wiki/Q1211057","display_name":"Convergent series","level":3,"score":0.7010824680328369},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6808147430419922},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6225659847259521},{"id":"https://openalex.org/C2456702","wikidata":"https://www.wikidata.org/wiki/Q1375954","display_name":"Vector-valued function","level":2,"score":0.5682089924812317},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5351511240005493},{"id":"https://openalex.org/C32929806","wikidata":"https://www.wikidata.org/wiki/Q1474614","display_name":"Function series","level":3,"score":0.5094895958900452},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.48480644822120667},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31936514377593994},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.14628556370735168},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08642712235450745},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/gmj.2000.43","doi":"https://doi.org/10.1515/gmj.2000.43","is_oa":false,"landing_page_url":"https://doi.org/10.1515/gmj.2000.43","pdf_url":null,"source":{"id":"https://openalex.org/S85666469","display_name":"Georgian Mathematical Journal","issn_l":"1072-947X","issn":["1072-947X","1572-9176"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Georgian Mathematical Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W20440896","https://openalex.org/W101872783","https://openalex.org/W326180910","https://openalex.org/W560969848","https://openalex.org/W1528144086","https://openalex.org/W2007131381"],"related_works":["https://openalex.org/W1990632878","https://openalex.org/W54630817","https://openalex.org/W204054644","https://openalex.org/W4232297681","https://openalex.org/W2127577156","https://openalex.org/W1987702919","https://openalex.org/W28543901","https://openalex.org/W2067368582","https://openalex.org/W2113327276","https://openalex.org/W375118934"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"sufficient":[2],"condition":[3],"for":[4,36],"the":[5,31,37],"existence":[6],"of":[7,13,18,25,30,39],"an":[8],"almost":[9],"everywhere":[10],"convergent":[11],"rearrangement":[12],"series":[14,38],"in":[15],"Orlicz":[16],"spaces":[17],"vector-valued":[19],"functions":[20],"is":[21],"obtained.":[22],"The":[23],"results":[24],"this":[26],"paper":[27],"cover":[28],"most":[29],"related":[32],"statements":[33],"known":[34],"previously":[35],"scalar":[40],"functions.":[41]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}
