A note on uniform operators
學年 75
學期 1
出版(發表)日期 1986-08-01
作品名稱 A note on uniform operators
作品名稱(其他語言)
著者 王筱蘭; Wang, Hsiao-lan
單位 淡江大學數學學系
出版者 American Mathematical Society (AMS)
著錄名稱、卷期、頁數 Proceedings of the American Mathematical Society 97(4), pp.643-646
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.
關鍵字 Uniform operator;Calkin algebra;invariant subspace;normal operator;quasi-similarity;Toeplitz operator
語言 en_US
ISSN 0002-9939
期刊性質 國外
收錄於
產學合作
通訊作者
審稿制度
國別 USA
公開徵稿
出版型式 ,紙本
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