{"title":"利用双曲值范数求解\\(c_{0}^{k}\\left( \\mathbb{B}\\mathbb{C}\\right)\\)与\\(c^{k}\\left( \\mathbb{B}\\mathbb{C} \\right)\\)之间的矩阵变换的双复形式","authors":"Birsen Sağır, Nihan Güngör, Cenap Duyar","doi":"10.1007/s40995-024-01737-2","DOIUrl":null,"url":null,"abstract":"<div><p>This paper presents the characterizations of bicomplex matrix transformations between <span>\\(c_{0}^{k}\\left( \\mathbb{B}\\mathbb{C}\\right)\\)</span> and <span>\\(c^{k}\\left( \\mathbb{B}\\mathbb{C}\\right)\\)</span> generalizing several conclusions from complex version of these matrices. Moreover, we define and demonstrate their bicomplex counterparts utilizing the Silverman-Toeplitz and Kojima-Schur theorems.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 2","pages":"439 - 447"},"PeriodicalIF":1.4000,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bicomplex Version of Matrix Transformations Between \\\\(c_{0}^{k}\\\\left( \\\\mathbb{B}\\\\mathbb{C}\\\\right)\\\\) and \\\\(c^{k}\\\\left( \\\\mathbb{B}\\\\mathbb{C} \\\\right)\\\\) by Using the Hyperbolic-Valued Norm\",\"authors\":\"Birsen Sağır, Nihan Güngör, Cenap Duyar\",\"doi\":\"10.1007/s40995-024-01737-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper presents the characterizations of bicomplex matrix transformations between <span>\\\\(c_{0}^{k}\\\\left( \\\\mathbb{B}\\\\mathbb{C}\\\\right)\\\\)</span> and <span>\\\\(c^{k}\\\\left( \\\\mathbb{B}\\\\mathbb{C}\\\\right)\\\\)</span> generalizing several conclusions from complex version of these matrices. Moreover, we define and demonstrate their bicomplex counterparts utilizing the Silverman-Toeplitz and Kojima-Schur theorems.</p></div>\",\"PeriodicalId\":600,\"journal\":{\"name\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"volume\":\"49 2\",\"pages\":\"439 - 447\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2024-11-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40995-024-01737-2\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology, Transactions A: Science","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40995-024-01737-2","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
Bicomplex Version of Matrix Transformations Between \(c_{0}^{k}\left( \mathbb{B}\mathbb{C}\right)\) and \(c^{k}\left( \mathbb{B}\mathbb{C} \right)\) by Using the Hyperbolic-Valued Norm
This paper presents the characterizations of bicomplex matrix transformations between \(c_{0}^{k}\left( \mathbb{B}\mathbb{C}\right)\) and \(c^{k}\left( \mathbb{B}\mathbb{C}\right)\) generalizing several conclusions from complex version of these matrices. Moreover, we define and demonstrate their bicomplex counterparts utilizing the Silverman-Toeplitz and Kojima-Schur theorems.
期刊介绍:
The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences