{"title":"新的$L_{p,\\Phi}$类$s$型算子","authors":"Pınar Zengin Alp","doi":"10.32323/ujma.1378917","DOIUrl":null,"url":null,"abstract":"In this study, the class of $s$-type $\\ell_{p}( \\Phi )$ operators is introduced and it is shown that $L_{p,\\Phi}$ is a quasi-Banach operator ideal. Also, some other classes are defined by using approximation, Gelfand, Kolmogorov, Weyl, Chang, and Hilbert number sequences. Then, some properties are examined.","PeriodicalId":498123,"journal":{"name":"Universal journal of mathematics and applications","volume":"4 6","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The New Class $L_{p,\\\\Phi}$ of $s$-Type Operators\",\"authors\":\"Pınar Zengin Alp\",\"doi\":\"10.32323/ujma.1378917\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, the class of $s$-type $\\\\ell_{p}( \\\\Phi )$ operators is introduced and it is shown that $L_{p,\\\\Phi}$ is a quasi-Banach operator ideal. Also, some other classes are defined by using approximation, Gelfand, Kolmogorov, Weyl, Chang, and Hilbert number sequences. Then, some properties are examined.\",\"PeriodicalId\":498123,\"journal\":{\"name\":\"Universal journal of mathematics and applications\",\"volume\":\"4 6\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Universal journal of mathematics and applications\",\"FirstCategoryId\":\"0\",\"ListUrlMain\":\"https://doi.org/10.32323/ujma.1378917\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Universal journal of mathematics and applications","FirstCategoryId":"0","ListUrlMain":"https://doi.org/10.32323/ujma.1378917","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this study, the class of $s$-type $\ell_{p}( \Phi )$ operators is introduced and it is shown that $L_{p,\Phi}$ is a quasi-Banach operator ideal. Also, some other classes are defined by using approximation, Gelfand, Kolmogorov, Weyl, Chang, and Hilbert number sequences. Then, some properties are examined.
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