{"title":"二元连续函数空间中$H_{\\ ω}$类宽度问题的极值子空间","authors":"L. B. Khodak","doi":"10.15421/247709","DOIUrl":null,"url":null,"abstract":"In the paper, we have pointed out the conditions under which the subspaces of dimensionality $n^2$ ($n=2,3,\\ldots$), extremal for $H_{\\omega}$ classes of continuous functions of two variables, do not exist.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"78 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Extremal subspaces in the problem about widths of $H_{\\\\omega}$ classes in the space of continuous functions of two variables\",\"authors\":\"L. B. Khodak\",\"doi\":\"10.15421/247709\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the paper, we have pointed out the conditions under which the subspaces of dimensionality $n^2$ ($n=2,3,\\\\ldots$), extremal for $H_{\\\\omega}$ classes of continuous functions of two variables, do not exist.\",\"PeriodicalId\":52827,\"journal\":{\"name\":\"Researches in Mathematics\",\"volume\":\"78 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-10-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Researches in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15421/247709\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Researches in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15421/247709","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Extremal subspaces in the problem about widths of $H_{\omega}$ classes in the space of continuous functions of two variables
In the paper, we have pointed out the conditions under which the subspaces of dimensionality $n^2$ ($n=2,3,\ldots$), extremal for $H_{\omega}$ classes of continuous functions of two variables, do not exist.
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