{"title":"无界自约算子谱定理的简短非标准证明","authors":"Takashi Matsunaga","doi":"arxiv-2407.16136","DOIUrl":null,"url":null,"abstract":"By nonstandard analysis, a very short and elementary proof of the Spectral\nTheorem for unbounded self-adjoint operators is given.","PeriodicalId":501373,"journal":{"name":"arXiv - MATH - Spectral Theory","volume":"80 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A short nonstandard proof of the Spectral Theorem for unbounded self-adjoint operators\",\"authors\":\"Takashi Matsunaga\",\"doi\":\"arxiv-2407.16136\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By nonstandard analysis, a very short and elementary proof of the Spectral\\nTheorem for unbounded self-adjoint operators is given.\",\"PeriodicalId\":501373,\"journal\":{\"name\":\"arXiv - MATH - Spectral Theory\",\"volume\":\"80 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Spectral Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.16136\",\"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 - Spectral Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.16136","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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