{"title":"汉克尔算子的提升和不变子空间","authors":"Sneha B, Neeru Bala, Samir Panja, Jaydeb Sarkar","doi":"arxiv-2408.13753","DOIUrl":null,"url":null,"abstract":"We prove a Hankel-variant commutant lifting theorem. This also uncovers the\ncomplete structure of the Beurling-type reducing and invariant subspaces of\nHankel operators. Kernel spaces of Hankel operators play a key role in the\nanalysis.","PeriodicalId":501114,"journal":{"name":"arXiv - MATH - Operator Algebras","volume":"23 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Liftings and invariant subspaces of Hankel operators\",\"authors\":\"Sneha B, Neeru Bala, Samir Panja, Jaydeb Sarkar\",\"doi\":\"arxiv-2408.13753\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove a Hankel-variant commutant lifting theorem. This also uncovers the\\ncomplete structure of the Beurling-type reducing and invariant subspaces of\\nHankel operators. Kernel spaces of Hankel operators play a key role in the\\nanalysis.\",\"PeriodicalId\":501114,\"journal\":{\"name\":\"arXiv - MATH - Operator Algebras\",\"volume\":\"23 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Operator Algebras\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.13753\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Operator Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.13753","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Liftings and invariant subspaces of Hankel operators
We prove a Hankel-variant commutant lifting theorem. This also uncovers the
complete structure of the Beurling-type reducing and invariant subspaces of
Hankel operators. Kernel spaces of Hankel operators play a key role in the
analysis.
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