{"title":"具有交换项的算子矩阵的广义Drazin逆","authors":"Huanyin Chen, Marjan Sheibani Abdolyousefi","doi":"10.1515/gmj-2023-2074","DOIUrl":null,"url":null,"abstract":"Abstract We present new results for the generalized Drazin inverse of <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mrow> <m:mn>2</m:mn> <m:mo>×</m:mo> <m:mn>2</m:mn> </m:mrow> </m:math> {2\\times 2} anti-triangular matrices with commuting entries over a Banach algebra. As an application, the g -Drazin invertibility of block-operator matrices is obtained under new wider conditions.","PeriodicalId":55101,"journal":{"name":"Georgian Mathematical Journal","volume":"16 1","pages":"0"},"PeriodicalIF":0.8000,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The generalized Drazin inverse of an operator matrix with commuting entries\",\"authors\":\"Huanyin Chen, Marjan Sheibani Abdolyousefi\",\"doi\":\"10.1515/gmj-2023-2074\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We present new results for the generalized Drazin inverse of <m:math xmlns:m=\\\"http://www.w3.org/1998/Math/MathML\\\"> <m:mrow> <m:mn>2</m:mn> <m:mo>×</m:mo> <m:mn>2</m:mn> </m:mrow> </m:math> {2\\\\times 2} anti-triangular matrices with commuting entries over a Banach algebra. As an application, the g -Drazin invertibility of block-operator matrices is obtained under new wider conditions.\",\"PeriodicalId\":55101,\"journal\":{\"name\":\"Georgian Mathematical Journal\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-10-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Georgian Mathematical Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/gmj-2023-2074\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Georgian Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/gmj-2023-2074","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
The generalized Drazin inverse of an operator matrix with commuting entries
Abstract We present new results for the generalized Drazin inverse of 2×2 {2\times 2} anti-triangular matrices with commuting entries over a Banach algebra. As an application, the g -Drazin invertibility of block-operator matrices is obtained under new wider conditions.
期刊介绍：
The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.
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