{"title":"保留算子积最大数值范围的映射","authors":"K. Dhifaoui, M. Mabrouk","doi":"10.2989/16073606.2023.2276751","DOIUrl":null,"url":null,"abstract":"Let be a complex Hilbert space and denote by the algebra of all linear bounded operators on . For any , denote by V0(T) its maximal numerical range. We prove that if is a surjective map such tha...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"7 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Maps preserving maximal numerical range of operator products\",\"authors\":\"K. Dhifaoui, M. Mabrouk\",\"doi\":\"10.2989/16073606.2023.2276751\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let be a complex Hilbert space and denote by the algebra of all linear bounded operators on . For any , denote by V0(T) its maximal numerical range. We prove that if is a surjective map such tha...\",\"PeriodicalId\":49652,\"journal\":{\"name\":\"Quaestiones Mathematicae\",\"volume\":\"7 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-11-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quaestiones Mathematicae\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2989/16073606.2023.2276751\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quaestiones Mathematicae","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2989/16073606.2023.2276751","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Maps preserving maximal numerical range of operator products
Let be a complex Hilbert space and denote by the algebra of all linear bounded operators on . For any , denote by V0(T) its maximal numerical range. We prove that if is a surjective map such tha...
期刊介绍：
Quaestiones Mathematicae is devoted to research articles from a wide range of mathematical areas. Longer expository papers of exceptional quality are also considered. Published in English, the journal receives contributions from authors around the globe and serves as an important reference source for anyone interested in mathematics.
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