{"title":"保持三重约旦积上升或下降的映射","authors":"Roja Hosseinzadeh, Tatjana Petek","doi":"10.1007/s43036-024-00357-2","DOIUrl":null,"url":null,"abstract":"<div><p>Let <i>X</i> be a real or complex Banach space of dimension at least 3. We give a complete description of surjective mappings on <i>B</i>(<i>X</i>) that preserve the ascent of Jordan triple product of operators or, preserve the descent of Jordan triple product of operators.</p></div>","PeriodicalId":44371,"journal":{"name":"Advances in Operator Theory","volume":"9 3","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43036-024-00357-2.pdf","citationCount":"0","resultStr":"{\"title\":\"Maps preserving ascent or descent of triple Jordan product\",\"authors\":\"Roja Hosseinzadeh, Tatjana Petek\",\"doi\":\"10.1007/s43036-024-00357-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Let <i>X</i> be a real or complex Banach space of dimension at least 3. We give a complete description of surjective mappings on <i>B</i>(<i>X</i>) that preserve the ascent of Jordan triple product of operators or, preserve the descent of Jordan triple product of operators.</p></div>\",\"PeriodicalId\":44371,\"journal\":{\"name\":\"Advances in Operator Theory\",\"volume\":\"9 3\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-06-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s43036-024-00357-2.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Operator Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s43036-024-00357-2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Operator Theory","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s43036-024-00357-2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
让 X 是维数至少为 3 的实或复巴纳赫空间。我们给出了对 B(X) 上保持算子的约旦三乘积上升或保持算子的约旦三乘积下降的投射映射的完整描述。
Maps preserving ascent or descent of triple Jordan product
Let X be a real or complex Banach space of dimension at least 3. We give a complete description of surjective mappings on B(X) that preserve the ascent of Jordan triple product of operators or, preserve the descent of Jordan triple product of operators.
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