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    题名: A note on uniform operators
    作者: 王筱蘭;Wang, Hsiao-lan
    贡献者: 淡江大學數學學系
    关键词: Uniform operator;Calkin algebra;invariant subspace;normal operator;quasi-similarity;Toeplitz operator
    日期: 1986-08
    上传时间: 2010-01-28
    出版者: American Mathematical Society (AMS)
    摘要: An operator is uniform if its restriction to any infinite-dimensional invariant subspace is unitarily equivalent to itself. We show that a uniform operator having a proper infinite-dimensional invariant subspace resembles an analytic Toeplitz operator in the way that the weakly closed algebra generated by it and the identity operator is isomorphic to a subalgebra of the Calkin algebra; furthermore, this algebra contains no nonscalar operator which is quasi-similar to a normal operator.
    關聯: Proceedings of the American Mathematical Society 97(4), pp.643-646
    DOI: 10.1090/S0002-9939-1986-0845981-X
    显示于类别:[數學學系暨研究所] 期刊論文

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