{"title":"Banach-Saks性质和性质β InCesàro序列空间","authors":"Nafisa Algorashy Mohammed","doi":"10.17265/2161-6213/2018.1-2.004","DOIUrl":null,"url":null,"abstract":"A new constant C (X) for any Banach space X is introduced. It is proved that C (X) < 2 implies the weak Banach–Saks property for the space X: In particular, C( ) is found for Cesàro sequence space (1 < p < ∞ ). Moreover, it is shown that the space (1 < p < ∞) has property .","PeriodicalId":16171,"journal":{"name":"Journal of materials science & engineering","volume":"4 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Banach–Saks Property and Property β InCesàro Sequence Spaces\",\"authors\":\"Nafisa Algorashy Mohammed\",\"doi\":\"10.17265/2161-6213/2018.1-2.004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new constant C (X) for any Banach space X is introduced. It is proved that C (X) < 2 implies the weak Banach–Saks property for the space X: In particular, C( ) is found for Cesàro sequence space (1 < p < ∞ ). Moreover, it is shown that the space (1 < p < ∞) has property .\",\"PeriodicalId\":16171,\"journal\":{\"name\":\"Journal of materials science & engineering\",\"volume\":\"4 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of materials science & engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17265/2161-6213/2018.1-2.004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of materials science & engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17265/2161-6213/2018.1-2.004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
对任意巴拿赫空间X引入了一个新的常数C (X)。证明了C(X) < 2暗示了空间X的弱Banach-Saks性质，特别是在Cesàro序列空间(1 < p <∞)下找到了C()。进一步证明了空间(1 < p <∞)具有性质。
Banach–Saks Property and Property β InCesàro Sequence Spaces
A new constant C (X) for any Banach space X is introduced. It is proved that C (X) < 2 implies the weak Banach–Saks property for the space X: In particular, C( ) is found for Cesàro sequence space (1 < p < ∞ ). Moreover, it is shown that the space (1 < p < ∞) has property .
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
