{"title":"论保守和强制sm方法","authors":"M. Zeltser","doi":"10.3176/phys.math.2001.2.02","DOIUrl":null,"url":null,"abstract":"We study the spaceCe of double sequences(xkl), satisfying lim l lim k |xkl a|=0 for some number a. In this note, using gliding hump arguments, we give necessary and sufficient conditions for a 3-dimensional matrix (i.e. SM-method) to transform every convergent or bounded sequence (xk) into the space Ce or Cbe, the space of elements in Ce with bounded columns.","PeriodicalId":308961,"journal":{"name":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"On conservative and coercive SM-methods\",\"authors\":\"M. Zeltser\",\"doi\":\"10.3176/phys.math.2001.2.02\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the spaceCe of double sequences(xkl), satisfying lim l lim k |xkl a|=0 for some number a. In this note, using gliding hump arguments, we give necessary and sufficient conditions for a 3-dimensional matrix (i.e. SM-method) to transform every convergent or bounded sequence (xk) into the space Ce or Cbe, the space of elements in Ce with bounded columns.\",\"PeriodicalId\":308961,\"journal\":{\"name\":\"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3176/phys.math.2001.2.02\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3176/phys.math.2001.2.02","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
摘要
本文研究了二重序列(xkl)的空间ece,对某数a满足lim l lim k |xkl a|=0。本文利用滑动驼峰参数,给出了三维矩阵(sm -方法)将每一个收敛或有界序列(xk)变换到空间Ce或Cbe的充分必要条件,即Ce中列有界的元素空间。
We study the spaceCe of double sequences(xkl), satisfying lim l lim k |xkl a|=0 for some number a. In this note, using gliding hump arguments, we give necessary and sufficient conditions for a 3-dimensional matrix (i.e. SM-method) to transform every convergent or bounded sequence (xk) into the space Ce or Cbe, the space of elements in Ce with bounded columns.