{"title":"注意强σ可和性","authors":"T. Bilgin","doi":"10.5036/BFSIU1968.28.73","DOIUrl":null,"url":null,"abstract":"The main object of the paper is to study the inclusions [Aσ, p]⊂[Aσ, q], [Aσ, p]⊂[Bσ, q] and [Aσ, p]∩m⊂[Bσ, q] and to characterizae the spaces M([Aσ, p], [Aσ, q]) and M0([Aσ, p]0, [Aσ, q]0). Here [Aσ, p] and [Aσ, q]0 are certain spaces of strongly summable sequences in terms of an injection σ: N→N and anonnegative infinite matrix A, and M([Aσ, p], [Aσ, q]) is the space of summability factors between [Aσ, p] and [Aσ, q].","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"27","resultStr":"{\"title\":\"Note on strong Aσ-summability\",\"authors\":\"T. Bilgin\",\"doi\":\"10.5036/BFSIU1968.28.73\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main object of the paper is to study the inclusions [Aσ, p]⊂[Aσ, q], [Aσ, p]⊂[Bσ, q] and [Aσ, p]∩m⊂[Bσ, q] and to characterizae the spaces M([Aσ, p], [Aσ, q]) and M0([Aσ, p]0, [Aσ, q]0). Here [Aσ, p] and [Aσ, q]0 are certain spaces of strongly summable sequences in terms of an injection σ: N→N and anonnegative infinite matrix A, and M([Aσ, p], [Aσ, q]) is the space of summability factors between [Aσ, p] and [Aσ, q].\",\"PeriodicalId\":141145,\"journal\":{\"name\":\"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"27\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5036/BFSIU1968.28.73\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5036/BFSIU1968.28.73","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The main object of the paper is to study the inclusions [Aσ, p]⊂[Aσ, q], [Aσ, p]⊂[Bσ, q] and [Aσ, p]∩m⊂[Bσ, q] and to characterizae the spaces M([Aσ, p], [Aσ, q]) and M0([Aσ, p]0, [Aσ, q]0). Here [Aσ, p] and [Aσ, q]0 are certain spaces of strongly summable sequences in terms of an injection σ: N→N and anonnegative infinite matrix A, and M([Aσ, p], [Aσ, q]) is the space of summability factors between [Aσ, p] and [Aσ, q].
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