{"title":"紧算子的复插值:更新","authors":"M. Cwikel, S. Janson","doi":"10.3176/phys.math.2006.3.06","DOIUrl":null,"url":null,"abstract":"After 41 years it is still not known whether an operator acting on a Banach pair and which acts compactly on one or both of the \"endpoint\" spaces also acts compactly on the complex interpolation spaces generated by the pair. We report some recent steps towards solving this and related problems.","PeriodicalId":308961,"journal":{"name":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","volume":"49 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Complex interpolation of compact operators: an update\",\"authors\":\"M. Cwikel, S. Janson\",\"doi\":\"10.3176/phys.math.2006.3.06\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"After 41 years it is still not known whether an operator acting on a Banach pair and which acts compactly on one or both of the \\\"endpoint\\\" spaces also acts compactly on the complex interpolation spaces generated by the pair. We report some recent steps towards solving this and related problems.\",\"PeriodicalId\":308961,\"journal\":{\"name\":\"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics\",\"volume\":\"49 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3176/phys.math.2006.3.06\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3176/phys.math.2006.3.06","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Complex interpolation of compact operators: an update
After 41 years it is still not known whether an operator acting on a Banach pair and which acts compactly on one or both of the "endpoint" spaces also acts compactly on the complex interpolation spaces generated by the pair. We report some recent steps towards solving this and related problems.
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