Fuglede’s theorem

被引:0
作者
V. S. Sunder
机构
[1] The Institute of Mathematical Sciences,
来源
Indian Journal of Pure and Applied Mathematics | 2015年 / 46卷
关键词
Normal operator; commutant; spectral projections; monotone class theorem;
D O I
暂无
中图分类号
学科分类号
摘要
In this short note, we give an elementary (set-theoretic) proof of Fuglede’s theorem that the commutant of a normal operator is *-closed.
引用
收藏
页码:415 / 417
页数:2
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[23]   On a generalisation of Krein's example [J].
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[24]   Generalized Anderson's inequality [J].
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[27]   Rota's universal operators and invariant subspaces in Hilbert spaces [J].
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Torrano, E .
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[29]   Transferring Lp eigenfunction bounds from S2n+1 to hn [J].
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