{"title":"关于巴拿赫空间本质伪谱映射定理的说明","authors":"Aymen Ammar, S. Veeramani","doi":"10.1007/s11253-024-02326-7","DOIUrl":null,"url":null,"abstract":"<p>The main aim of the paper is to determine some basic properties of the essential pseudospectrum of a bounded linear operator <i>A</i> defined in a Banach space <i>X.</i> We also prove two different versions of the essential pseudospectral mapping theorem.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Note on the Mapping Theorem for Essential Pseudospectra in a Banach Space\",\"authors\":\"Aymen Ammar, S. Veeramani\",\"doi\":\"10.1007/s11253-024-02326-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The main aim of the paper is to determine some basic properties of the essential pseudospectrum of a bounded linear operator <i>A</i> defined in a Banach space <i>X.</i> We also prove two different versions of the essential pseudospectral mapping theorem.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-09-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11253-024-02326-7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11253-024-02326-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Note on the Mapping Theorem for Essential Pseudospectra in a Banach Space
The main aim of the paper is to determine some basic properties of the essential pseudospectrum of a bounded linear operator A defined in a Banach space X. We also prove two different versions of the essential pseudospectral mapping theorem.
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