{"title":"伪广义可逆算子的摄动","authors":"Asma Lahmar, Haïkel Skhiri","doi":"10.1007/s44146-023-00068-9","DOIUrl":null,"url":null,"abstract":"<div><p>This paper is a continuation of previous works Lahmar (Filomat 36:2551-2572, 2022), Lahmar (Filomat 36: 4575–4590, 2022), Lahmar (Preprint) where we defined a new class of operators called pseudo-generalized invertible operators that includes both the set of generalized invertible operators and the set of Drazin invertible operators. Here we focus essentially on the perturbation problem of pseudo-generalized invertible operators and the particular case of DPG invertibility.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"89 3-4","pages":"389 - 411"},"PeriodicalIF":0.5000,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the perturbation of pseudo-generalized invertible operators\",\"authors\":\"Asma Lahmar, Haïkel Skhiri\",\"doi\":\"10.1007/s44146-023-00068-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper is a continuation of previous works Lahmar (Filomat 36:2551-2572, 2022), Lahmar (Filomat 36: 4575–4590, 2022), Lahmar (Preprint) where we defined a new class of operators called pseudo-generalized invertible operators that includes both the set of generalized invertible operators and the set of Drazin invertible operators. Here we focus essentially on the perturbation problem of pseudo-generalized invertible operators and the particular case of DPG invertibility.</p></div>\",\"PeriodicalId\":46939,\"journal\":{\"name\":\"ACTA SCIENTIARUM MATHEMATICARUM\",\"volume\":\"89 3-4\",\"pages\":\"389 - 411\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-03-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACTA SCIENTIARUM MATHEMATICARUM\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s44146-023-00068-9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACTA SCIENTIARUM MATHEMATICARUM","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s44146-023-00068-9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
On the perturbation of pseudo-generalized invertible operators
This paper is a continuation of previous works Lahmar (Filomat 36:2551-2572, 2022), Lahmar (Filomat 36: 4575–4590, 2022), Lahmar (Preprint) where we defined a new class of operators called pseudo-generalized invertible operators that includes both the set of generalized invertible operators and the set of Drazin invertible operators. Here we focus essentially on the perturbation problem of pseudo-generalized invertible operators and the particular case of DPG invertibility.
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