淡江大學機構典藏:Item 987654321/41679
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41679


    Title: A note on uniform operators
    Authors: 王筱蘭;Wang, Hsiao-lan
    Contributors: 淡江大學數學學系
    Keywords: Uniform operator;Calkin algebra;invariant subspace;normal operator;quasi-similarity;Toeplitz operator
    Date: 1986-08
    Issue Date: 2010-01-28
    Publisher: American Mathematical Society (AMS)
    Abstract: 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.
    Relation: Proceedings of the American Mathematical Society 97(4), pp.643-646
    DOI: 10.1090/S0002-9939-1986-0845981-X
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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