8 papers
On the quasi-similarity of operators with flag structure
Xie yufang, Ji shanshan, Xu jing +1
Let denote the operator class in which every nonzero intertwiner between two operators in has dense range. Utilizing the operators in as a…
Cyclicity of Cowen-Douglas tuples
Jing Xu, Shanshan Ji, Yufang Xie +1
The study of Cowen-Douglas operators involves not only operator-theoretic tools but also complex geometry on holomorphic vector bundles. By leveraging the properties of holomorphic…
On the metric of the jet bundle and similarity of Cowen-Douglas operators
Kui Ji, Shanshan Ji, Hyun-Kyoung Kwon +1
The study of Cowen-Douglas operators not only involves traditional operator-theoretic tools but also concepts and results from complex geometry on holomorphic vector bundles. We ma…
The Cowen-Douglas Theory for Operator Tuples and Similarity
Kui Ji, Shanshan Ji, Hyun-Kyoung Kwon +1
We are concerned with the similarity problem for Cowen-Douglas operator tuples. The unitary equivalence counterpart was already investigated in the 1970's and geometric concepts in…
On the -hypercontractions and similarity of multivariable weighted shifts
Yingli Hou, Shanshan Ji, Jing Xu
In \cite{SH}, A. L. Shields proved a well-known theorem for the similarity of unilateral weighted shift operators. By using the generalization of this theorem for multivariable wei…
A note on unitary equivalence of operators acting on reproducing kernel Hilbert spaces
Kui Ji, Shanshan Ji
A well-known theorem due to R. E. Curto and N. Salinas gives a necessary and sufficient condition for the unitary equivalence of commuting tuples of bounded linear operators acting…
On the similarity of restriction of the operator to an invariant subspace
Kui Ji, Shanshan Ji, Dinesh Kumar Keshari +1
Let be the multiplication operator on the Bergman space and denote the restriction of to an invariant subspace . A question raised by K. Zhu is that when…
Geometry of holomorphic vector bundles and similarity of commuting operator tuples
Yingli Hou, Kui Ji, Shanshan Ji +1
In this paper, a new criterion for the similarity of commuting tuples of operators on Hilbert spaces is introduced. As an application, we obtain a geometric similarity invariant of…