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(...
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]).
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...
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...
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...
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...
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...