THE CLOSED RANGE POINTS AND QUASISIMILARITY OF WEIGHTED SHIFT OPERATORS OF DEGREE K

被引:0
作者
严子锟
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[1] DepartmentofMathematics,FujianNonnalUniversity,Fuzhou,PRC
关键词
weighted shift operators; quasisimilarity; closed range points;
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摘要
<正> Lambert showed in 1970 that two quasisimilar injective unilateral weighted shifts must be similar and hence have the same dosed range points. But whether the conclusion is true for injective bilateral weighted shift operators has not been proved yet. In this note we answer the question affirmatively with a stronger result. We prove that two quasisimilar injective bilat-
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页码:441 / 444
页数:4
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