{"title":"高阶((n,m))-德拉津正则算子","authors":"Hadi Obaid AlShammari","doi":"10.1186/s13660-024-03095-4","DOIUrl":null,"url":null,"abstract":"The purpose of this paper is to introduce and study the structure of p-tuple of $(n,m)$ - $\\mathcal{D}$ -normal operators. This is a generalization of the class of p-tuple of n-normal operators. We consider a generalization of these single variable n- $\\mathcal{D}$ -normal and $(n,m)$ - $\\mathcal{D}$ -normal operators and explore some of their basic properties.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"62 1","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Higher order \\\\((n,m)\\\\)-Drazin normal operators\",\"authors\":\"Hadi Obaid AlShammari\",\"doi\":\"10.1186/s13660-024-03095-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this paper is to introduce and study the structure of p-tuple of $(n,m)$ - $\\\\mathcal{D}$ -normal operators. This is a generalization of the class of p-tuple of n-normal operators. We consider a generalization of these single variable n- $\\\\mathcal{D}$ -normal and $(n,m)$ - $\\\\mathcal{D}$ -normal operators and explore some of their basic properties.\",\"PeriodicalId\":16088,\"journal\":{\"name\":\"Journal of Inequalities and Applications\",\"volume\":\"62 1\",\"pages\":\"\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Inequalities and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1186/s13660-024-03095-4\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Inequalities and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1186/s13660-024-03095-4","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
本文旨在介绍和研究 $(n,m)$ - $mathcal{D}$ 正则算子的 p-tuple 结构。这是 n 常算子 p 元组类的广义化。我们考虑了这些单变量 n- $\mathcal{D}$ - 常算子和 $(n,m)$ - $\mathcal{D}$ - 常算子的一般化,并探讨了它们的一些基本性质。
The purpose of this paper is to introduce and study the structure of p-tuple of $(n,m)$ - $\mathcal{D}$ -normal operators. This is a generalization of the class of p-tuple of n-normal operators. We consider a generalization of these single variable n- $\mathcal{D}$ -normal and $(n,m)$ - $\mathcal{D}$ -normal operators and explore some of their basic properties.
期刊介绍:
The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.