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

THE CLOSED RANGE POINTS AND QUASISIMILARITY OF WEIGHTED SHIFT OPERATORS OF DEGREE K
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摘要 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-
作者 严子锟
出处 《Chinese Science Bulletin》 SCIE EI CAS 1992年第6期441-444,共4页
关键词 WEIGHTED SHIFT OPERATORS QUASISIMILARITY CLOSED range POINTS WEIGHTED SHIFT OPERATORS QUASI-SIMILARITY CLOSED RANGE POINTS
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