{"title":"矩阵代数中一种新的谱方法:迹伪谱","authors":"A. Ammar, A. Jeribi, K. Mahfoudhi","doi":"10.5269/bspm.48313","DOIUrl":null,"url":null,"abstract":"We work with the notion of trace pseudospectra for an element in the matrix algebra. Many new interesting properties of the trace pseudospectrum have been discovered. In addition, we show an analogue of the spectral mapping theorem for trace pseudospectrum in the matrix algebra. Among other things, we illustrated the applicability of this concepts by a considerable number of examples.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A new spectral approach in the matrix algebra: trace pseudospectrum\",\"authors\":\"A. Ammar, A. Jeribi, K. Mahfoudhi\",\"doi\":\"10.5269/bspm.48313\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We work with the notion of trace pseudospectra for an element in the matrix algebra. Many new interesting properties of the trace pseudospectrum have been discovered. In addition, we show an analogue of the spectral mapping theorem for trace pseudospectrum in the matrix algebra. Among other things, we illustrated the applicability of this concepts by a considerable number of examples.\",\"PeriodicalId\":44941,\"journal\":{\"name\":\"Boletim Sociedade Paranaense de Matematica\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-12-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Boletim Sociedade Paranaense de Matematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5269/bspm.48313\",\"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":"Boletim Sociedade Paranaense de Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5269/bspm.48313","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
A new spectral approach in the matrix algebra: trace pseudospectrum
We work with the notion of trace pseudospectra for an element in the matrix algebra. Many new interesting properties of the trace pseudospectrum have been discovered. In addition, we show an analogue of the spectral mapping theorem for trace pseudospectrum in the matrix algebra. Among other things, we illustrated the applicability of this concepts by a considerable number of examples.
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