{"title":"半群发电机的奇异谱","authors":"Abdelkader Elkoutri, Mohamed Aziz Taoudi","doi":"10.1016/S0764-4442(01)02021-3","DOIUrl":null,"url":null,"abstract":"<div><p>In this Note, we give necessary and sufficient conditions for the generator of a <span><math><mtext>C</mtext><msub><mi></mi><mn>0</mn></msub></math></span> semigroup to be semiregular. We also prove that the spectral inclusion for semigroups holds for the singular spectrum. By applying the preceding results, we establish some stability results for semigroups.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 7","pages":"Pages 641-644"},"PeriodicalIF":0.0000,"publicationDate":"2001-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02021-3","citationCount":"7","resultStr":"{\"title\":\"Spectre singulier pour les générateurs des semi-groupes\",\"authors\":\"Abdelkader Elkoutri, Mohamed Aziz Taoudi\",\"doi\":\"10.1016/S0764-4442(01)02021-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this Note, we give necessary and sufficient conditions for the generator of a <span><math><mtext>C</mtext><msub><mi></mi><mn>0</mn></msub></math></span> semigroup to be semiregular. We also prove that the spectral inclusion for semigroups holds for the singular spectrum. By applying the preceding results, we establish some stability results for semigroups.</p></div>\",\"PeriodicalId\":100300,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"volume\":\"333 7\",\"pages\":\"Pages 641-644\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02021-3\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0764444201020213\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0764444201020213","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Spectre singulier pour les générateurs des semi-groupes
In this Note, we give necessary and sufficient conditions for the generator of a semigroup to be semiregular. We also prove that the spectral inclusion for semigroups holds for the singular spectrum. By applying the preceding results, we establish some stability results for semigroups.
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