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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作  者:严子锟 

机构地区:[1]Department of Mathematics, Fujian Nonnal University, Fuzhou 350007, PRC

出  处:《Chinese Science Bulletin》1992年第6期441-444,共4页

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-

关 键 词:WEIGHTED SHIFT OPERATORS QUASISIMILARITY CLOSED range POINTS 

分 类 号:N[自然科学总论]

 

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