QUASISIMILARITY

作品数:7被引量:14H指数:1
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相关期刊:《Science China Mathematics》《Chinese Quarterly Journal of Mathematics》《Science Bulletin》更多>>
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The Properties of k-quasi-*-A(n) Operator
《Chinese Quarterly Journal of Mathematics》2012年第3期375-381,共7页zuo fei SHEN Jun-li 
Supported by the Natural Science Foundation of the Department of Education of Henan Province(12B110025, 102300410012)
An operator T is called k-quasi-*-A(n) operator, if T^(*k)|T^(1+n)|^(2/(1+n))T^k ≥T^(*k)|T~* |~2T^k , k ∈ Z, which is a generalization of quasi-*-A(n) operator. In this paper we prove some properties of k-quasi-*-A(...
关键词:k-quasi-*-A(n) operator QUASISIMILARITY single valued extension property Weyl spectrum essential approximate point spectrum 
Quasisimilarity of Cowen-Douglas operators被引量:12
《Science China Mathematics》2004年第2期297-310,共14页JIANG Chunlan & HE HuaDepartment of Mathematics, Hebei University of Technology, Tianjin 300130, China Department of Mathematics, Universtiy of Pueto Rico, Rio Piedras San Juan, PR 00931, USA Department of Mathematics, Hebei Normal University, Shijiazhuang 050016, China 
This work was supported by the 973 Project of China and the National Natural Science Foundation of China (Grant No. 19631070).
This paper shows that every operator which is quasisimilar to strongly irreducible Cowen-Douglas operators is still strongly irreducible. This result answers a question posted by Davidson and Herrero (ref. [1]).
关键词:quasisimilar  STRONGLY irreducible  Cowen-Douglas operators. 
Intersection Relations Between the Spectra of Quasisimilar Operators被引量:1
《Chinese Science Bulletin》1993年第16期1332-1335,共8页林辰 
Project supported by the Science Foundation of Fujian Province.
Let X denote an infinite dimensional complex Banach space and L(X) denote the set of all the bounded linear operators on X. For A∈L(X), B∈L (Y), A and B are quasisimilar (written as A (?) B) if there exist P:X→Y, Q...
关键词:BOUNDED linear OPERATOR SPECTRUM QUASISIMILARITY component 
THE ESSENTIAL SPECTRA OF OPERATORS QUASISIMILAR TO SUBNORMAL OPERATORS被引量:1
《Chinese Science Bulletin》1992年第20期1679-1682,共3页林辰 严子锟 
Project supported by the Science Foundation of Fujian Province
Yang Liming showed in 1988 that if S is a subnormal operator, T is a hyponormal operator and T and S are quasisimilar, then σ_e(S)(?) σ_e(T), and hence he deduced the conclusion that two quasisimilar subnormal opera...
关键词:BOUNDED LINEAR OPERATOR QUASISIMILARITY SUBNORMAL OPERATOR 
THE CLOSED RANGE POINTS AND QUASISIMILARITY OF WEIGHTED SHIFT OPERATORS OF DEGREE K
《Chinese Science Bulletin》1992年第6期441-444,共4页严子锟 
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 o...
关键词:WEIGHTED SHIFT OPERATORS QUASISIMILARITY CLOSED range POINTS 
COMPONENTS OF THE ESSENTIAL SPECTRA OF QUASISIMILAR OPERATORS
《Science China Mathematics》1991年第10期1174-1182,共9页严子锟 
Project supported by a grant from the Fujian Province Natural Science Foundation.
Let A and B be quasisimilar operators. We describe refinedly the intersection relationsof the components of various essential spectra of A with various subsets of the essentialspectrum of B, and give an affirmative an...
关键词:BOUNDED linear OPERATOR QUASISIMILARITY ESSENTIAL SPECTRA component. 
SOME RESULTS ON THE QU OF OPERATORS
《Chinese Science Bulletin》1991年第5期362-365,共4页严子锟 
B. Sz-Nagy and C. Foias introduced the concept of quasisimilarity in 1967. Since then, the quasisimilarity of operators has become an important research problem in the theory of operators and a lot of attractive resul...
关键词:BOUNDED linear OPERATOR QUASISIMILARITY CONNECTED component of spectrum. 
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